Cremona's table of elliptic curves

1521 = 3² · 13²

Field	Data	Notes
Atkin-Lehner	3+ 13+	Signs for the Atkin-Lehner involutions
Class	1521a	Isogeny class
Conductor	1521	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-3326427 = -1 · 39 · 132	Discriminant
Eigenvalues	0 3+  0  1  0 13+  0 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,0,-88]	[a1,a2,a3,a4,a6]
Generators	[12:40:1]	Generators of the group modulo torsion
j	0	j-invariant
L	2.4413668755936	L(r)(E,1)/r!
Ω	1.1521009290551	Real period
R	1.0595282123398	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	24336z2 97344a2 1521a1 38025b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1521a2

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 1521a2

-4	8	-3	5	-7	13
24336z2	97344a2	1521a1	38025b2	74529g2	1521b2

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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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