Cremona's table of elliptic curves

95550 = 2 · 3 · 5² · 7² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7+ 13+	Signs for the Atkin-Lehner involutions
Class	95550hp	Isogeny class
Conductor	95550	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	583200	Modular degree for the optimal curve
Δ	1001425211718750 = 2 · 35 · 58 · 74 · 133	Discriminant
Eigenvalues	2- 3+ 5- 7+  1 13+ -4  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-25138,177281]	[a1,a2,a3,a4,a6]
Generators	[834:60683:216]	Generators of the group modulo torsion
j	1873116385/1067742	j-invariant
L	9.3530809093858	L(r)(E,1)/r!
Ω	0.42367206354384	Real period
R	7.3587425320465	Regulator
r	1	Rank of the group of rational points
S	1.0000000009051	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	95550df1 95550ld1	Quadratic twists by: 5 -7

Hecke Eigenvalues for elliptic curve 95550hp1

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	+	-4	8	4	3	-8	10	-7	9	-8	-3	1	-2	-12	-10	4	12	-9	5	10

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Quadratic twists for elliptic curve 95550hp1

5	-7
95550df1	95550ld1

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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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