Atkin-Lehner |
2+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53824q |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-379718595510272 = -1 · 229 · 294 |
Discriminant |
Eigenvalues |
2+ -3 0 4 1 -6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16820,417136] |
[a1,a2,a3,a4,a6] |
j |
2838375/2048 |
j-invariant |
L |
0.68067547219582 |
L(r)(E,1)/r! |
Ω |
0.34033773459537 |
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 |
53824bq1 1682e1 53824i1 |
Quadratic twists by: -4 8 29 |