Atkin-Lehner |
2- 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100510o |
Isogeny class |
Conductor |
100510 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1020272 |
Modular degree for the optimal curve |
Δ |
-144009312819200 = -1 · 211 · 52 · 19 · 236 |
Discriminant |
Eigenvalues |
2- -3 5- 5 4 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25227,-1640421] |
[a1,a2,a3,a4,a6] |
j |
-11993263569/972800 |
j-invariant |
L |
4.1477680560659 |
L(r)(E,1)/r! |
Ω |
0.18853489749836 |
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 |
190a1 |
Quadratic twists by: -23 |