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	770c	Isogeny class
Conductor	770	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	8967612500 = 22 · 55 · 72 · 114	Discriminant
Eigenvalues	2+  0 5- 7+ 11+  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3266669,-2271693567]	[a1,a2,a3,a4,a6]
j	3855131356812007128171561/8967612500	j-invariant
L	1.122983216684	L(r)(E,1)/r!
Ω	0.1122983216684	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	6160p4 24640e4 6930y4 3850s3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 770c3

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

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Quadratic twists for elliptic curve 770c3

-4	8	-3	5	-7	-11
6160p4	24640e4	6930y4	3850s3	5390c4	8470be4

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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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