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	4	Product of Tamagawa factors cp
Δ	717563448 = 23 · 310 · 72 · 31	Discriminant
Eigenvalues	2+ 3-  2 7+ -4 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-47246976,125011561000]	[a1,a2,a3,a4,a6]
Generators	[6725:330380:1]	Generators of the group modulo torsion
j	15999935809592383211759617/984312	j-invariant
L	2.8461951493663	L(r)(E,1)/r!
Ω	0.4054072524304	Real period
R	7.0205827160304	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	31248ca6 124992cf6 1302l5 97650ek6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3906h5

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 3906h5

-4	8	-3	5	-7	-31
31248ca6	124992cf6	1302l5	97650ek6	27342j6	121086f6

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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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