Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57222bd |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-144992848399030368 = -1 · 25 · 310 · 11 · 178 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,28557,18218709] |
[a1,a2,a3,a4,a6] |
j |
506447/28512 |
j-invariant |
L |
1.4890946101858 |
L(r)(E,1)/r! |
Ω |
0.24818243489259 |
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 |
19074be1 57222f1 |
Quadratic twists by: -3 17 |