Cremona's table of elliptic curves

7370 = 2 · 5 · 11 · 67

Field	Data	Notes
Atkin-Lehner	2- 5+ 11- 67+	Signs for the Atkin-Lehner involutions
Class	7370d	Isogeny class
Conductor	7370	Conductor
∏ cp	30	Product of Tamagawa factors cp
deg	4800	Modular degree for the optimal curve
Δ	-8090255360 = -1 · 215 · 5 · 11 · 672	Discriminant
Eigenvalues	2-  1 5+ -1 11- -6  5  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-506,6116]	[a1,a2,a3,a4,a6]
Generators	[68:502:1]	Generators of the group modulo torsion
j	-14329429649569/8090255360	j-invariant
L	6.4791234539532	L(r)(E,1)/r!
Ω	1.2176007354448	Real period
R	0.17737405662748	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	58960j1 66330q1 36850k1 81070d1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7370d1

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	-	-6	5	5	6	-5	-7	-3	-2	0	-4	-5	2	3	+	-15	-6	8	-14	-3	10

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Quadratic twists for elliptic curve 7370d1

-4	-3	5	-11
58960j1	66330q1	36850k1	81070d1

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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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