Atkin-Lehner |
31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
58621c |
Isogeny class |
Conductor |
58621 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13200 |
Modular degree for the optimal curve |
Δ |
3575881 = 312 · 612 |
Discriminant |
Eigenvalues |
-1 1 3 -3 -3 1 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-144,647] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:36:1] |
Generators of the group modulo torsion |
j |
343776577/3721 |
j-invariant |
L |
4.4137198735647 |
L(r)(E,1)/r! |
Ω |
2.5077146026626 |
Real period |
R |
0.88002834718973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58621a1 |
Quadratic twists by: -31 |