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	7700l	Isogeny class
Conductor	7700	Conductor
∏ cp	9	Product of Tamagawa factors cp
Δ	44388967700000000 = 28 · 58 · 79 · 11	Discriminant
Eigenvalues	2- -2 5- 7- 11-  5 -3 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-251333,-47510537]	[a1,a2,a3,a4,a6]
Generators	[-286:1029:1]	Generators of the group modulo torsion
j	17557957181440/443889677	j-invariant
L	3.1037492265522	L(r)(E,1)/r!
Ω	0.21355345872397	Real period
R	1.6148697718739	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	30800cf2 123200de2 69300cl2 7700e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7700l2

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	-	-	-	5	-3	-1	0	0	-4	-7	-3	-4	0	3	0	-13	-1	-3	11	8	12	0	-10

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Quadratic twists for elliptic curve 7700l2

-4	8	-3	5	-7	-11
30800cf2	123200de2	69300cl2	7700e2	53900bj2	84700bc2

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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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