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	8	Product of Tamagawa factors cp
Δ	2310400 = 28 · 52 · 192	Discriminant
Eigenvalues	2+  0 5-  0  4 -6 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-127,-546]	[a1,a2,a3,a4,a6]
Generators	[194:825:8]	Generators of the group modulo torsion
j	884901456/9025	j-invariant
L	2.8512640496318	L(r)(E,1)/r!
Ω	1.4230367500453	Real period
R	4.0072950323189	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	760e2 6080k2 13680n2 7600c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1520b2

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 1520b2

-4	8	-3	5	-7	-19
760e2	6080k2	13680n2	7600c2	74480b2	28880g2

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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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