Atkin-Lehner |
2+ 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650g |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
69189120 |
Modular degree for the optimal curve |
Δ |
-2.5283342046422E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 1 -1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1520772750,-8011906425000] |
[a1,a2,a3,a4,a6] |
Generators |
[22580:6140160:1] |
Generators of the group modulo torsion |
j |
24894112720403063469140655839/16181338909710278320312500 |
j-invariant |
L |
4.0855090076155 |
L(r)(E,1)/r! |
Ω |
0.017792456664553 |
Real period |
R |
6.3783413084513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11730p1 |
Quadratic twists by: 5 |