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	7700c	Isogeny class
Conductor	7700	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	80640	Modular degree for the optimal curve
Δ	-848847511635200 = -1 · 28 · 52 · 77 · 115	Discriminant
Eigenvalues	2- -3 5+ 7+ 11+ -6  5  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-77815,8471710]	[a1,a2,a3,a4,a6]
j	-8142048846461520/132632423693	j-invariant
L	0.50162990966464	L(r)(E,1)/r!
Ω	0.50162990966464	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	30800cc1 123200bg1 69300bp1 7700k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7700c1

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
-	-3	+	+	+	-6	5	2	-2	-6	3	5	-6	-11	-1	-1	15	10	-10	10	-5	-17	-12	-2	12

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Quadratic twists for elliptic curve 7700c1

-4	8	-3	5	-7	-11
30800cc1	123200bg1	69300bp1	7700k1	53900q1	84700x1

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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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