Cremona's table of elliptic curves

31920 = 2⁴ · 3 · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7- 19-	Signs for the Atkin-Lehner involutions
Class	31920ce	Isogeny class
Conductor	31920	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	-279634989656494080 = -1 · 212 · 38 · 5 · 78 · 192	Discriminant
Eigenvalues	2- 3- 5- 7- -4 -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,89200,-23254572]	[a1,a2,a3,a4,a6]
j	19162556947522799/68270261146605	j-invariant
L	2.5148471319726	L(r)(E,1)/r!
Ω	0.15717794574833	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1995c6 127680ds5 95760dz5	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 31920ce5

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
-	-	-	-	-4	-2	2	-	-8	-2	8	-2	-6	-12	0	6	4	-2	4	0	2	0	12	10	2

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Quadratic twists for elliptic curve 31920ce5

-4	8	-3
1995c6	127680ds5	95760dz5

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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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