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	95550kc	Isogeny class
Conductor	95550	Conductor
∏ cp	6240	Product of Tamagawa factors cp
Δ	-1.2513441012718E+22	Discriminant
Eigenvalues	2- 3- 5+ 7- -4 13-  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,5699462,-1239713308]	[a1,a2,a3,a4,a6]
Generators	[1532:-106066:1]	Generators of the group modulo torsion
j	3820420340137317041/2334869460099072	j-invariant
L	13.140784223596	L(r)(E,1)/r!
Ω	0.073280331429489	Real period
R	0.11495007549067	Regulator
r	1	Rank of the group of rational points
S	1.0000000000842	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3822e2 95550gx2	Quadratic twists by: 5 -7

Hecke Eigenvalues for elliptic curve 95550kc2

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
-	-	+	-	-4	-	6	4	0	-4	-4	-12	-12	8	2	-8	4	-10	14	8	-2	16	0	-4	-2

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Quadratic twists for elliptic curve 95550kc2

5	-7
3822e2	95550gx2

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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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