Cremona's table of elliptic curves

770 = 2 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 11+	Signs for the Atkin-Lehner involutions
Class	770g	Isogeny class
Conductor	770	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-3131816380 = -1 · 22 · 5 · 76 · 113	Discriminant
Eigenvalues	2- -2 5- 7- 11+  2  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-90,-2720]	[a1,a2,a3,a4,a6]
j	-80677568161/3131816380	j-invariant
L	1.8601556791843	L(r)(E,1)/r!
Ω	0.62005189306143	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6160k3 24640o3 6930h3 3850c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 770g3

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	-	-	+	2	6	2	-6	0	8	8	0	-4	0	12	12	-10	-4	-12	14	-10	0	-18	8

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Quadratic twists for elliptic curve 770g3

-4	8	-3	5	-7	-11
6160k3	24640o3	6930h3	3850c3	5390x3	8470l3

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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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