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	95550jx	Isogeny class
Conductor	95550	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	9.7245509303841E+18	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 13- -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1210108313,-16202692247883]	[a1,a2,a3,a4,a6]
Generators	[50406:-7157595:1]	Generators of the group modulo torsion
j	106607603143751752938169/5290068420	j-invariant
L	13.290082957253	L(r)(E,1)/r!
Ω	0.02559726081552	Real period
R	10.816654567835	Regulator
r	1	Rank of the group of rational points
S	1.0000000005484	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19110j4 13650bq5	Quadratic twists by: 5 -7

Hecke Eigenvalues for elliptic curve 95550jx5

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

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Quadratic twists for elliptic curve 95550jx5

5	-7
19110j4	13650bq5

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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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