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	3906a	Isogeny class
Conductor	3906	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	44800	Modular degree for the optimal curve
Δ	-161904779574902784 = -1 · 225 · 33 · 78 · 31	Discriminant
Eigenvalues	2+ 3+ -1 7-  5 -1  5  1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-384690,-93758508]	[a1,a2,a3,a4,a6]
j	-233181060948366864507/5996473317588992	j-invariant
L	1.5312719081825	L(r)(E,1)/r!
Ω	0.095704494261406	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	31248ba1 124992m1 3906m1 97650cj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3906a1

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	-1	5	1	6	6	+	-2	0	-4	1	0	6	7	-5	-15	-8	1	-5	6	17

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Quadratic twists for elliptic curve 3906a1

-4	8	-3	5	-7	-31
31248ba1	124992m1	3906m1	97650cj1	27342c1	121086b1

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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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