Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
58656y |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20992 |
Modular degree for the optimal curve |
Δ |
97603584 = 212 · 3 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3- -3 1 1 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-317,-2229] |
[a1,a2,a3,a4,a6] |
Generators |
[33:156:1] |
Generators of the group modulo torsion |
j |
862801408/23829 |
j-invariant |
L |
6.5812697031816 |
L(r)(E,1)/r! |
Ω |
1.1330608117787 |
Real period |
R |
1.4520998420305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58656g1 117312h1 |
Quadratic twists by: -4 8 |