Cremona's table of elliptic curves

3906 = 2 · 3² · 7 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 31-	Signs for the Atkin-Lehner involutions
Class	3906v	Isogeny class
Conductor	3906	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	71437427712 = 210 · 38 · 73 · 31	Discriminant
Eigenvalues	2- 3- -2 7-  0 -6  2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1706,24297]	[a1,a2,a3,a4,a6]
Generators	[89:-801:1]	Generators of the group modulo torsion
j	752825955673/97993728	j-invariant
L	4.7604559828399	L(r)(E,1)/r!
Ω	1.0542431032168	Real period
R	0.15051733856306	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	31248bj1 124992df1 1302c1 97650bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3906v1

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
-	-	-2	-	0	-6	2	-2	6	2	-	-4	0	-6	-10	2	-12	-6	0	-4	-10	-16	4	-6	2

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Quadratic twists for elliptic curve 3906v1

-4	8	-3	5	-7	-31
31248bj1	124992df1	1302c1	97650bc1	27342be1	121086bo1

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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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