Cremona's table of elliptic curves

15510 = 2 · 3 · 5 · 11 · 47

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 11- 47+	Signs for the Atkin-Lehner involutions
Class	15510n	Isogeny class
Conductor	15510	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	962240400 = 24 · 32 · 52 · 112 · 472	Discriminant
Eigenvalues	2- 3+ 5- -4 11- -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-10340,-409003]	[a1,a2,a3,a4,a6]
j	122261002766084161/962240400	j-invariant
L	1.8937794415825	L(r)(E,1)/r!
Ω	0.47344486039562	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	124080ci2 46530i2 77550x2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 15510n2

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

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Quadratic twists for elliptic curve 15510n2

-4	-3	5
124080ci2	46530i2	77550x2

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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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