Cremona's table of elliptic curves

23904 = 2⁵ · 3² · 83

Field	Data	Notes
Atkin-Lehner	2+ 3+ 83+	Signs for the Atkin-Lehner involutions
Class	23904a	Isogeny class
Conductor	23904	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-95233536 = -1 · 29 · 33 · 832	Discriminant
Eigenvalues	2+ 3+ -2  0 -4  0  0  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-51,490]	[a1,a2,a3,a4,a6]
Generators	[6:20:1]	Generators of the group modulo torsion
j	-1061208/6889	j-invariant
L	4.1471009236989	L(r)(E,1)/r!
Ω	1.6366185109241	Real period
R	2.5339447745566	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	23904b2 47808bh2 23904p2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 23904a2

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	0	0	6	2	6	-8	2	4	-2	4	-6	4	2	-10	4	-2	-8	+	14	-14

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Quadratic twists for elliptic curve 23904a2

-4	8	-3
23904b2	47808bh2	23904p2

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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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