Cremona's table of elliptic curves

20976 = 2⁴ · 3 · 19 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 19- 23-	Signs for the Atkin-Lehner involutions
Class	20976n	Isogeny class
Conductor	20976	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	13824	Modular degree for the optimal curve
Δ	-1875757824 = -1 · 28 · 36 · 19 · 232	Discriminant
Eigenvalues	2- 3- -1  5  3  0 -7 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,299,-529]	[a1,a2,a3,a4,a6]
Generators	[23:138:1]	Generators of the group modulo torsion
j	11509170176/7327179	j-invariant
L	7.213631107065	L(r)(E,1)/r!
Ω	0.85011227929181	Real period
R	0.35356266473972	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	5244b1 83904ba1 62928bg1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 20976n1

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	5	3	0	-7	-	-	-8	-2	-2	-10	1	7	-6	-14	-7	8	-14	-7	14	12	-4	0

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Quadratic twists for elliptic curve 20976n1

-4	8	-3
5244b1	83904ba1	62928bg1

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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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