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	3906h	Isogeny class
Conductor	3906	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	18432	Modular degree for the optimal curve
Δ	-740476638461952 = -1 · 224 · 38 · 7 · 312	Discriminant
Eigenvalues	2+ 3-  2 7+ -4 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-936,1309504]	[a1,a2,a3,a4,a6]
Generators	[-87:896:1]	Generators of the group modulo torsion
j	-124475734657/1015742988288	j-invariant
L	2.8461951493663	L(r)(E,1)/r!
Ω	0.4054072524304	Real period
R	3.5102913580152	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	31248ca1 124992cf1 1302l1 97650ek1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3906h1

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	6	-4	0	2	-	6	6	-12	0	10	-4	-2	-12	8	-14	-8	-12	-18	2

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Quadratic twists for elliptic curve 3906h1

-4	8	-3	5	-7	-31
31248ca1	124992cf1	1302l1	97650ek1	27342j1	121086f1

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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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