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	3906w	Isogeny class
Conductor	3906	Conductor
∏ cp	168	Product of Tamagawa factors cp
deg	8064	Modular degree for the optimal curve
Δ	-9188639139456 = -1 · 27 · 39 · 76 · 31	Discriminant
Eigenvalues	2- 3- -3 7-  3 -1 -3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,661,-145861]	[a1,a2,a3,a4,a6]
Generators	[63:346:1]	Generators of the group modulo torsion
j	43874924183/12604443264	j-invariant
L	4.6418872442268	L(r)(E,1)/r!
Ω	0.34294680025203	Real period
R	0.080567251816696	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	31248bm1 124992di1 1302i1 97650bd1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3906w1

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
-	-	-3	-	3	-1	-3	-1	-6	-6	-	2	-6	2	3	6	-6	-1	-13	9	2	-1	-9	-6	-1

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Quadratic twists for elliptic curve 3906w1

-4	8	-3	5	-7	-31
31248bm1	124992di1	1302i1	97650bd1	27342bi1	121086bq1

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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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