Atkin-Lehner |
3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103455bd |
Isogeny class |
Conductor |
103455 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
715008 |
Modular degree for the optimal curve |
Δ |
286355357578125 = 313 · 57 · 112 · 19 |
Discriminant |
Eigenvalues |
2 3- 5- 4 11- 5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-41547,-3156233] |
[a1,a2,a3,a4,a6] |
j |
89914518605824/3246328125 |
j-invariant |
L |
9.3839508435893 |
L(r)(E,1)/r! |
Ω |
0.33514111521653 |
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 |
34485b1 103455bg1 |
Quadratic twists by: -3 -11 |