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	1520i	Isogeny class
Conductor	1520	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-902500000000 = -1 · 28 · 510 · 192	Discriminant
Eigenvalues	2- -2 5+ -2  0  6  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,884,-44280]	[a1,a2,a3,a4,a6]
Generators	[458:3553:8]	Generators of the group modulo torsion
j	298091207216/3525390625	j-invariant
L	1.8884015479106	L(r)(E,1)/r!
Ω	0.43534086709705	Real period
R	4.3377539088	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	380b2 6080u2 13680bv2 7600q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1520i2

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
-	-2	+	-2	0	6	2	-	2	-2	-4	-10	-10	-6	6	6	4	2	2	-12	-6	-8	2	2	-18

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Quadratic twists for elliptic curve 1520i2

-4	8	-3	5	-7	-19
380b2	6080u2	13680bv2	7600q2	74480ck2	28880w2

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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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