Cremona's table of elliptic curves

3128 = 2³ · 17 · 23

Field	Data	Notes
Atkin-Lehner	2- 17- 23-	Signs for the Atkin-Lehner involutions
Class	3128c	Isogeny class
Conductor	3128	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	-423606272 = -1 · 211 · 17 · 233	Discriminant
Eigenvalues	2-  1  4  1  6  2 17-  3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,64,992]	[a1,a2,a3,a4,a6]
j	13935742/206839	j-invariant
L	3.7349295854909	L(r)(E,1)/r!
Ω	1.244976528497	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6256b1 25024i1 28152f1 78200c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3128c1

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	4	1	6	2	-	3	-	2	-4	-6	-12	-8	-3	11	4	2	-5	-10	10	-1	-4	14	-7

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Quadratic twists for elliptic curve 3128c1

-4	8	-3	5	17	-23
6256b1	25024i1	28152f1	78200c1	53176e1	71944b1

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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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