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	3906i	Isogeny class
Conductor	3906	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1024	Modular degree for the optimal curve
Δ	22779792 = 24 · 38 · 7 · 31	Discriminant
Eigenvalues	2+ 3- -2 7+ -4  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-378,2916]	[a1,a2,a3,a4,a6]
Generators	[0:54:1]	Generators of the group modulo torsion
j	8205738913/31248	j-invariant
L	2.1925276368401	L(r)(E,1)/r!
Ω	2.1500671547238	Real period
R	0.50987422230582	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	31248cb1 124992ca1 1302n1 97650el1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3906i1

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

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Quadratic twists for elliptic curve 3906i1

-4	8	-3	5	-7	-31
31248cb1	124992ca1	1302n1	97650el1	27342h1	121086i1

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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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