Cremona's table of elliptic curves

7150 = 2 · 5² · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5+ 11+ 13+	Signs for the Atkin-Lehner involutions
Class	7150a	Isogeny class
Conductor	7150	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	161280	Modular degree for the optimal curve
Δ	-3114163486720000000 = -1 · 220 · 57 · 113 · 134	Discriminant
Eigenvalues	2+  0 5+  0 11+ 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1438667,669948741]	[a1,a2,a3,a4,a6]
Generators	[-541:36183:1]	Generators of the group modulo torsion
j	-21075830718885163521/199306463150080	j-invariant
L	2.7804241563599	L(r)(E,1)/r!
Ω	0.25382546732664	Real period
R	2.7385196860308	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	57200bj1 64350ec1 1430h1 78650cc1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7150a1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	0	+	0	+	+	-2	4	-8	10	8	-6	-2	12	4	6	-4	10	-4	0	14	-8	-12	-14	2

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Quadratic twists for elliptic curve 7150a1

-4	-3	5	-11	13
57200bj1	64350ec1	1430h1	78650cc1	92950cc1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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