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	8	Product of Tamagawa factors cp
Δ	384864768 = 29 · 32 · 174	Discriminant
Eigenvalues	2- 3-  2  0  4 -2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-192,-468]	[a1,a2,a3,a4,a6]
j	1536800264/751689	j-invariant
L	2.6942351965195	L(r)(E,1)/r!
Ω	1.3471175982598	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	1632h3 3264v3 4896c3 40800a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1632l2

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 1632l2

-4	8	-3	5	-7	17
1632h3	3264v3	4896c3	40800a3	79968bq3	27744r3

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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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