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	3906f	Isogeny class
Conductor	3906	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	-26576424 = -1 · 23 · 37 · 72 · 31	Discriminant
Eigenvalues	2+ 3- -1 7+  5 -5  3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,0,-248]	[a1,a2,a3,a4,a6]
Generators	[11:26:1]	Generators of the group modulo torsion
j	-1/36456	j-invariant
L	2.499647277721	L(r)(E,1)/r!
Ω	0.96843205698603	Real period
R	0.64528204629564	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	31248bw1 124992by1 1302k1 97650em1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3906f1

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
+	-	-1	+	5	-5	3	-1	6	-10	-	-6	-6	6	9	-2	14	-5	3	-13	-2	-5	9	6	-1

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Quadratic twists for elliptic curve 3906f1

-4	8	-3	5	-7	-31
31248bw1	124992by1	1302k1	97650em1	27342g1	121086d1

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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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