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	1520b	Isogeny class
Conductor	1520	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	97280 = 210 · 5 · 19	Discriminant
Eigenvalues	2+  0 5-  0  4 -6 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2027,-35126]	[a1,a2,a3,a4,a6]
Generators	[12534:44605:216]	Generators of the group modulo torsion
j	899466517764/95	j-invariant
L	2.8512640496318	L(r)(E,1)/r!
Ω	0.71151837502263	Real period
R	8.0145900646378	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	760e4 6080k3 13680n4 7600c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1520b3

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	4	-6	-6	-	-8	-2	0	2	2	-4	8	-6	4	-2	-8	-8	2	8	-4	-14	14

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Quadratic twists for elliptic curve 1520b3

-4	8	-3	5	-7	-19
760e4	6080k3	13680n4	7600c3	74480b4	28880g4

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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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