Atkin-Lehner |
2- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58604k |
Isogeny class |
Conductor |
58604 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
1157309781413968 = 24 · 76 · 133 · 234 |
Discriminant |
Eigenvalues |
2- 0 2 7- 2 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27244,-562863] |
[a1,a2,a3,a4,a6] |
Generators |
[186:897:1] |
Generators of the group modulo torsion |
j |
1188031905792/614810677 |
j-invariant |
L |
7.4713229020574 |
L(r)(E,1)/r! |
Ω |
0.39313937332981 |
Real period |
R |
1.0557922271769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1196a1 |
Quadratic twists by: -7 |