Cremona's table of elliptic curves

1521 = 3² · 13²

Field	Data	Notes
Atkin-Lehner	3+ 13+	Signs for the Atkin-Lehner involutions
Class	1521b	Isogeny class
Conductor	1521	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-16056027781443 = -1 · 39 · 138	Discriminant
Eigenvalues	0 3+  0 -1  0 13+  0  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,0,-192787]	[a1,a2,a3,a4,a6]
Generators	[507:11407:1]	Generators of the group modulo torsion
j	0	j-invariant
L	2.3592331859168	L(r)(E,1)/r!
Ω	0.31953530570906	Real period
R	1.2305542578889	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	24336y2 97344b2 1521b1 38025a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1521b2

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	+	0	-1	0	+	0	8	0	0	-7	-10	0	-13	0	0	0	-13	11	0	17	-13	0	0	5

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Quadratic twists for elliptic curve 1521b2

-4	8	-3	5	-7	13
24336y2	97344b2	1521b1	38025a2	74529h2	1521a2

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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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