Cremona's table of elliptic curves

1932 = 2² · 3 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 23+	Signs for the Atkin-Lehner involutions
Class	1932b	Isogeny class
Conductor	1932	Conductor
∏ cp	45	Product of Tamagawa factors cp
deg	11880	Modular degree for the optimal curve
Δ	-312853007432448 = -1 · 28 · 315 · 7 · 233	Discriminant
Eigenvalues	2- 3-  0 7-  3  2  0  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-478493,127241151]	[a1,a2,a3,a4,a6]
j	-47327266415721472000/1222082060283	j-invariant
L	2.5238536382586	L(r)(E,1)/r!
Ω	0.50477072765173	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	7728i1 30912h1 5796h1 48300e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1932b1

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
-	-	0	-	3	2	0	5	+	6	-10	2	3	-4	3	3	9	-1	8	-12	8	14	6	-6	-10

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Quadratic twists for elliptic curve 1932b1

-4	8	-3	5	-7	-23
7728i1	30912h1	5796h1	48300e1	13524e1	44436i1

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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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