Atkin-Lehner |
2+ 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050z |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
819200 |
Modular degree for the optimal curve |
Δ |
1193768576000000000 = 216 · 59 · 72 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-420992,-90947584] |
[a1,a2,a3,a4,a6] |
j |
4224893664647781/611209510912 |
j-invariant |
L |
1.5138853240292 |
L(r)(E,1)/r! |
Ω |
0.18923566543578 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50050cf1 |
Quadratic twists by: 5 |