Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
58032p |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5902080 |
Modular degree for the optimal curve |
Δ |
-2.2097615261334E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 6 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15173259,23846984762] |
[a1,a2,a3,a4,a6] |
Generators |
[1846:46128:1] |
Generators of the group modulo torsion |
j |
-3493305866655310412979/199812059293024256 |
j-invariant |
L |
7.4913547917326 |
L(r)(E,1)/r! |
Ω |
0.11903719999501 |
Real period |
R |
3.1466444070348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7254i1 58032q1 |
Quadratic twists by: -4 -3 |