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	31920l	Isogeny class
Conductor	31920	Conductor
∏ cp	240	Product of Tamagawa factors cp
deg	3886080	Modular degree for the optimal curve
Δ	67059930000000000 = 210 · 3 · 510 · 76 · 19	Discriminant
Eigenvalues	2+ 3+ 5- 7-  6  2 -4 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-185545960,-972742198400]	[a1,a2,a3,a4,a6]
j	689887483592546451769875364/65488212890625	j-invariant
L	2.4543581057121	L(r)(E,1)/r!
Ω	0.040905968428489	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15960p1 127680fm1 95760bf1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 31920l1

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
+	+	-	-	6	2	-4	-	0	-6	-2	8	-6	8	-10	-10	12	-2	-2	-16	14	-12	-16	2	12

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Quadratic twists for elliptic curve 31920l1

-4	8	-3
15960p1	127680fm1	95760bf1

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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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