Cremona's table of elliptic curves

3905 = 5 · 11 · 71

Field	Data	Notes
Atkin-Lehner	5- 11+ 71-	Signs for the Atkin-Lehner involutions
Class	3905b	Isogeny class
Conductor	3905	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	448	Modular degree for the optimal curve
Δ	-277255 = -1 · 5 · 11 · 712	Discriminant
Eigenvalues	1  2 5-  0 11+  2 -6 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-22,39]	[a1,a2,a3,a4,a6]
Generators	[138:191:27]	Generators of the group modulo torsion
j	-1263214441/277255	j-invariant
L	5.956510331246	L(r)(E,1)/r!
Ω	2.9540844695314	Real period
R	4.0327285104281	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	62480o1 35145g1 19525b1 42955l1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 3905b1

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	2	-	0	+	2	-6	-6	0	-6	-8	6	-12	8	0	4	12	-4	0	-	-2	2	4	-10	-8

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Quadratic twists for elliptic curve 3905b1

-4	-3	5	-11
62480o1	35145g1	19525b1	42955l1

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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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