Cremona's table of elliptic curves

1968 = 2⁴ · 3 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 41+	Signs for the Atkin-Lehner involutions
Class	1968m	Isogeny class
Conductor	1968	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	-503808 = -1 · 212 · 3 · 41	Discriminant
Eigenvalues	2- 3- -2  4 -5 -4 -5  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,11,35]	[a1,a2,a3,a4,a6]
Generators	[-2:3:1]	Generators of the group modulo torsion
j	32768/123	j-invariant
L	3.3174574556246	L(r)(E,1)/r!
Ω	2.0915575460281	Real period
R	1.5861181835157	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	123b1 7872t1 5904t1 49200bs1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1968m1

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	4	-5	-4	-5	2	-4	1	5	-7	+	-7	-7	-14	12	-3	2	3	13	2	2	18	-14

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Quadratic twists for elliptic curve 1968m1

-4	8	-3	5	-7	41
123b1	7872t1	5904t1	49200bs1	96432bt1	80688o1

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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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