Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350n |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
903525553781200 = 24 · 52 · 7 · 199 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 3 5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31776,-1634082] |
[a1,a2,a3,a4,a6] |
j |
3016755625/768208 |
j-invariant |
L |
2.9143454696234 |
L(r)(E,1)/r! |
Ω |
0.36429308031875 |
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 |
126350du1 6650u1 |
Quadratic twists by: 5 -19 |