Cremona's table of elliptic curves

1596 = 2² · 3 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 19-	Signs for the Atkin-Lehner involutions
Class	1596b	Isogeny class
Conductor	1596	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	102989037312 = 28 · 32 · 73 · 194	Discriminant
Eigenvalues	2- 3+  0 7+ -2  6 -8 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1468,-14696]	[a1,a2,a3,a4,a6]
Generators	[-30:38:1]	Generators of the group modulo torsion
j	1367595682000/402300927	j-invariant
L	2.4208896360714	L(r)(E,1)/r!
Ω	0.78867580803857	Real period
R	0.51159373965757	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	6384bc2 25536x2 4788b2 39900u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1596b2

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

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Quadratic twists for elliptic curve 1596b2

-4	8	-3	5	-7	-19
6384bc2	25536x2	4788b2	39900u2	11172p2	30324h2

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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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