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	31920bu	Isogeny class
Conductor	31920	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	1.6584774362209E+23	Discriminant
Eigenvalues	2- 3- 5- 7+ -4  6  2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-105889600,-418977023500]	[a1,a2,a3,a4,a6]
j	32057060107551693105326401/40490171782737618375	j-invariant
L	3.3888446669688	L(r)(E,1)/r!
Ω	0.047067287041246	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1995d4 127680dl4 95760dd4	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 31920bu4

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	6	2	+	0	6	0	-2	2	4	8	6	4	-2	4	8	10	0	-12	-14	10

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Quadratic twists for elliptic curve 31920bu4

-4	8	-3
1995d4	127680dl4	95760dd4

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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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