Cremona's table of elliptic curves

1632 = 2⁵ · 3 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 17-	Signs for the Atkin-Lehner involutions
Class	1632l	Isogeny class
Conductor	1632	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	256	Modular degree for the optimal curve
Δ	1498176 = 26 · 34 · 172	Discriminant
Eigenvalues	2- 3-  2  0  4 -2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-102,360]	[a1,a2,a3,a4,a6]
j	1851804352/23409	j-invariant
L	2.6942351965195	L(r)(E,1)/r!
Ω	2.6942351965195	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1632h1 3264v2 4896c1 40800a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1632l1

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

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Quadratic twists for elliptic curve 1632l1

-4	8	-3	5	-7	17
1632h1	3264v2	4896c1	40800a1	79968bq1	27744r1

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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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