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	7150t	Isogeny class
Conductor	7150	Conductor
∏ cp	56	Product of Tamagawa factors cp
deg	5376	Modular degree for the optimal curve
Δ	-18590000000 = -1 · 27 · 57 · 11 · 132	Discriminant
Eigenvalues	2-  1 5+  1 11- 13+ -5  3	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,662,292]	[a1,a2,a3,a4,a6]
Generators	[72:614:1]	Generators of the group modulo torsion
j	2053225511/1189760	j-invariant
L	7.1315914766914	L(r)(E,1)/r!
Ω	0.73446436157579	Real period
R	0.17339145976373	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	57200z1 64350y1 1430a1 78650m1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7150t1

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
-	1	+	1	-	+	-5	3	-4	-9	-11	-7	0	10	-4	3	10	-11	4	-1	-10	-4	6	-9	12

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Quadratic twists for elliptic curve 7150t1

-4	-3	5	-11	13
57200z1	64350y1	1430a1	78650m1	92950a1

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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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