Atkin-Lehner |
3+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57717a |
Isogeny class |
Conductor |
57717 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
551232 |
Modular degree for the optimal curve |
Δ |
-628145687573596071 = -1 · 39 · 118 · 533 |
Discriminant |
Eigenvalues |
1 3+ 1 1 11- -2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,65136,-37607509] |
[a1,a2,a3,a4,a6] |
j |
7243533/148877 |
j-invariant |
L |
0.28049621879742 |
L(r)(E,1)/r! |
Ω |
0.14024811002134 |
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 |
57717g1 57717c1 |
Quadratic twists by: -3 -11 |