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	1520h	Isogeny class
Conductor	1520	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-3891200 = -1 · 213 · 52 · 19	Discriminant
Eigenvalues	2-  1 5+  1  0 -3 -7 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,24,-76]	[a1,a2,a3,a4,a6]
Generators	[4:10:1]	Generators of the group modulo torsion
j	357911/950	j-invariant
L	3.0367790199012	L(r)(E,1)/r!
Ω	1.2767044513038	Real period
R	0.59465192135894	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	190b1 6080t1 13680bs1 7600o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1520h1

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	-3	-7	-	5	-5	-10	2	2	-6	0	9	7	-4	-7	0	-9	10	2	-10	-18

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Quadratic twists for elliptic curve 1520h1

-4	8	-3	5	-7	-19
190b1	6080t1	13680bs1	7600o1	74480cg1	28880u1

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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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