Atkin-Lehner |
2+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
128440b |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-917093710000 = -1 · 24 · 54 · 136 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-338,46137] |
[a1,a2,a3,a4,a6] |
j |
-55296/11875 |
j-invariant |
L |
1.4429403493696 |
L(r)(E,1)/r! |
Ω |
0.72146967741346 |
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 |
760e1 |
Quadratic twists by: 13 |