Cremona's table of elliptic curves

7700 = 2² · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	7700a	Isogeny class
Conductor	7700	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	8640	Modular degree for the optimal curve
Δ	-192500000000 = -1 · 28 · 510 · 7 · 11	Discriminant
Eigenvalues	2- -1 5+ 7+ 11+ -2  3  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-7708,263912]	[a1,a2,a3,a4,a6]
j	-20261200/77	j-invariant
L	1.0120637464935	L(r)(E,1)/r!
Ω	1.0120637464935	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	30800br1 123200q1 69300bi1 7700j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7700a1

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	+	+	+	-2	3	2	6	6	-7	-11	6	1	-3	-9	-3	-10	-14	-6	-11	11	0	6	-8

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Quadratic twists for elliptic curve 7700a1

-4	8	-3	5	-7	-11
30800br1	123200q1	69300bi1	7700j1	53900h1	84700q1

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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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