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	7150m	Isogeny class
Conductor	7150	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	8766849515138000 = 24 · 53 · 1110 · 132	Discriminant
Eigenvalues	2+  2 5-  0 11- 13+  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-55330,-2214300]	[a1,a2,a3,a4,a6]
Generators	[1320:46530:1]	Generators of the group modulo torsion
j	149867676441074717/70134796121104	j-invariant
L	4.2730509306925	L(r)(E,1)/r!
Ω	0.32572383935492	Real period
R	0.65593156140414	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	57200cd2 64350et2 7150w2 78650di2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7150m2

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
+	2	-	0	-	+	2	-4	-6	-6	0	8	10	8	-6	4	-4	-6	-10	0	-14	4	0	-6	-8

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Quadratic twists for elliptic curve 7150m2

-4	-3	5	-11	13
57200cd2	64350et2	7150w2	78650di2	92950cq2

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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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