Atkin-Lehner |
2- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
75118k |
Isogeny class |
Conductor |
75118 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
417384 |
Modular degree for the optimal curve |
Δ |
5381400636928 = 29 · 236 · 71 |
Discriminant |
Eigenvalues |
2- -3 4 3 0 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6183,-148641] |
[a1,a2,a3,a4,a6] |
j |
176558481/36352 |
j-invariant |
L |
4.9157759417381 |
L(r)(E,1)/r! |
Ω |
0.54619733074176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
142a1 |
Quadratic twists by: -23 |