Cremona's table of elliptic curves

1520 = 2⁴ · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 5- 19+	Signs for the Atkin-Lehner involutions
Class	1520j	Isogeny class
Conductor	1520	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-1404723200 = -1 · 213 · 52 · 193	Discriminant
Eigenvalues	2- -1 5-  1  0 -1 -3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-44480,3625600]	[a1,a2,a3,a4,a6]
Generators	[120:40:1]	Generators of the group modulo torsion
j	-2376117230685121/342950	j-invariant
L	2.5254325357648	L(r)(E,1)/r!
Ω	1.1855410040607	Real period
R	0.26627427131523	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	190c2 6080p2 13680z2 7600k2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1520j2

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
-	-1	-	1	0	-1	-3	+	-3	-3	-2	-10	6	-2	0	3	-3	8	7	-12	-13	-14	-6	6	-10

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Quadratic twists for elliptic curve 1520j2

-4	8	-3	5	-7	-19
190c2	6080p2	13680z2	7600k2	74480bo2	28880bf2

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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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