Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
26912f |
Isogeny class |
Conductor |
26912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-70655493361664 = -1 · 212 · 297 |
Discriminant |
Eigenvalues |
2- -1 -1 0 5 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1121,-404303] |
[a1,a2,a3,a4,a6] |
j |
-64/29 |
j-invariant |
L |
1.1059199172745 |
L(r)(E,1)/r! |
Ω |
0.27647997931866 |
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 |
26912e1 53824t1 928a1 |
Quadratic twists by: -4 8 29 |