Atkin-Lehner |
5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19435c |
Isogeny class |
Conductor |
19435 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
3817306031695 = 5 · 137 · 233 |
Discriminant |
Eigenvalues |
1 1 5- 1 -2 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-186073,30878161] |
[a1,a2,a3,a4,a6] |
j |
147608144916049/790855 |
j-invariant |
L |
2.7869782676967 |
L(r)(E,1)/r! |
Ω |
0.69674456692417 |
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 |
97175j1 1495a1 |
Quadratic twists by: 5 13 |