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	770b	Isogeny class
Conductor	770	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	8300600 = 23 · 52 · 73 · 112	Discriminant
Eigenvalues	2+ -2 5+ 7- 11+  2 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-14634,680132]	[a1,a2,a3,a4,a6]
j	346553430870203929/8300600	j-invariant
L	0.56315565348231	L(r)(E,1)/r!
Ω	1.6894669604469	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	6160f2 24640w2 6930bk2 3850o2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 770b2

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

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Quadratic twists for elliptic curve 770b2

-4	8	-3	5	-7	-11
6160f2	24640w2	6930bk2	3850o2	5390p2	8470u2

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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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