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	7700d	Isogeny class
Conductor	7700	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	199733187500000000 = 28 · 512 · 74 · 113	Discriminant
Eigenvalues	2-  2 5+ 7+ 11-  4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-228508,36205512]	[a1,a2,a3,a4,a6]
Generators	[537:8250:1]	Generators of the group modulo torsion
j	329890530231376/49933296875	j-invariant
L	5.8014357453921	L(r)(E,1)/r!
Ω	0.30438589910812	Real period
R	3.1765793369485	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30800bn2 123200h2 69300bb2 1540c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7700d2

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	+	+	-	4	0	-4	-6	-6	-4	-2	-6	4	-6	6	0	-10	-2	12	-8	-16	12	-18	10

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Quadratic twists for elliptic curve 7700d2

-4	8	-3	5	-7	-11
30800bn2	123200h2	69300bb2	1540c2	53900v2	84700t2

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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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