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	1596d	Isogeny class
Conductor	1596	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	2145024 = 28 · 32 · 72 · 19	Discriminant
Eigenvalues	2- 3- -2 7+ -2  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4964,-136284]	[a1,a2,a3,a4,a6]
j	52852623679312/8379	j-invariant
L	1.7063007427816	L(r)(E,1)/r!
Ω	0.56876691426053	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6384w2 25536a2 4788c2 39900i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1596d2

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	2	2	-	6	0	8	6	0	8	-6	0	0	10	4	8	6	-8	6	-8	6

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Quadratic twists for elliptic curve 1596d2

-4	8	-3	5	-7	-19
6384w2	25536a2	4788c2	39900i2	11172c2	30324b2

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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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