Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190bh |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-65135791160 = -1 · 23 · 5 · 11 · 236 |
Discriminant |
Eigenvalues |
2- 1 5- 1 11- 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-540,-13240] |
[a1,a2,a3,a4,a6] |
Generators |
[11188:140939:64] |
Generators of the group modulo torsion |
j |
-117649/440 |
j-invariant |
L |
13.30616716346 |
L(r)(E,1)/r! |
Ω |
0.45326929403084 |
Real period |
R |
4.8926643750853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110b1 |
Quadratic twists by: -23 |