Cremona's table of elliptic curves

31680 = 2⁶ · 3² · 5 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 11+	Signs for the Atkin-Lehner involutions
Class	31680dh	Isogeny class
Conductor	31680	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	1.2288754756878E+20	Discriminant
Eigenvalues	2- 3- 5-  0 11+ -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-6166092,-5869178224]	[a1,a2,a3,a4,a6]
j	135670761487282321/643043610000	j-invariant
L	0.76667432644107	L(r)(E,1)/r!
Ω	0.095834290804536	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	31680bu3 7920bc3 10560bo4	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 31680dh3

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
-	-	-	0	+	-6	-2	-4	0	-10	0	-6	-2	4	-8	-10	4	2	-4	-8	2	8	12	6	18

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Quadratic twists for elliptic curve 31680dh3

-4	8	-3
31680bu3	7920bc3	10560bo4

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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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