Cremona's table of elliptic curves

1924 = 2² · 13 · 37

Field	Data	Notes
Atkin-Lehner	2- 13- 37-	Signs for the Atkin-Lehner involutions
Class	1924a	Isogeny class
Conductor	1924	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	528	Modular degree for the optimal curve
Δ	1600768 = 28 · 132 · 37	Discriminant
Eigenvalues	2-  3  0  3  3 13- -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-40,-76]	[a1,a2,a3,a4,a6]
j	27648000/6253	j-invariant
L	3.85831921777	L(r)(E,1)/r!
Ω	1.929159608885	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	7696e1 30784d1 17316e1 48100b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1924a1

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
-	3	0	3	3	-	-6	0	8	-2	-10	-	-3	10	7	-7	-12	-14	4	-3	-3	2	5	10	-4

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Quadratic twists for elliptic curve 1924a1

-4	8	-3	5	-7	13	37
7696e1	30784d1	17316e1	48100b1	94276a1	25012b1	71188b1

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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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