Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080bh |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
20882706457600 = 210 · 52 · 138 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 -1 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-284145,58203575] |
[a1,a2,a3,a4,a6] |
j |
3037375744/25 |
j-invariant |
L |
1.2252835953052 |
L(r)(E,1)/r! |
Ω |
0.61264179753814 |
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 |
54080cz1 6760b1 54080g1 |
Quadratic twists by: -4 8 13 |