Atkin-Lehner |
3- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57717k |
Isogeny class |
Conductor |
57717 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5581315725564051 = -1 · 312 · 113 · 534 |
Discriminant |
Eigenvalues |
1 3- -2 2 11+ 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-155898,-23924565] |
[a1,a2,a3,a4,a6] |
j |
-431858355287003/5752160649 |
j-invariant |
L |
0.4801479692779 |
L(r)(E,1)/r! |
Ω |
0.12003699250026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19239j2 57717l2 |
Quadratic twists by: -3 -11 |