Cremona's table of elliptic curves

7770 = 2 · 3 · 5 · 7 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7+ 37-	Signs for the Atkin-Lehner involutions
Class	7770c	Isogeny class
Conductor	7770	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	982591926935062500 = 22 · 314 · 56 · 74 · 372	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  0 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-250728,7679628]	[a1,a2,a3,a4,a6]
j	1743150672675771875209/982591926935062500	j-invariant
L	0.47961577487544	L(r)(E,1)/r!
Ω	0.23980788743772	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	62160co2 23310bs2 38850co2 54390bg2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7770c2

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	-2	-2	-4	0	2	4	-	2	-8	-4	-10	4	-6	-12	0	-6	-4	12	-2	14

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Quadratic twists for elliptic curve 7770c2

-4	-3	5	-7
62160co2	23310bs2	38850co2	54390bg2

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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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