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	95550im	Isogeny class
Conductor	95550	Conductor
∏ cp	288	Product of Tamagawa factors cp
deg	4644864	Modular degree for the optimal curve
Δ	4.8872863196843E+20	Discriminant
Eigenvalues	2- 3+ 5- 7- -4 13-  4  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-4372418,-3356325169]	[a1,a2,a3,a4,a6]
Generators	[-1051:9443:1]	Generators of the group modulo torsion
j	628623316769266853/33232998629376	j-invariant
L	8.9141101510461	L(r)(E,1)/r!
Ω	0.10474788807542	Real period
R	1.1819530461589	Regulator
r	1	Rank of the group of rational points
S	1.0000000003372	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	95550fk1 13650dg1	Quadratic twists by: 5 -7

Hecke Eigenvalues for elliptic curve 95550im1

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	-	4	4	0	4	-2	0	6	4	-4	-10	-4	-4	2	-10	10	-8	6	6	-18

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Quadratic twists for elliptic curve 95550im1

5	-7
95550fk1	13650dg1

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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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