Atkin-Lehner |
2+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124184b |
Isogeny class |
Conductor |
124184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-186955061955328 = -1 · 28 · 198 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -4 -2 -3 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-163172,-25378300] |
[a1,a2,a3,a4,a6] |
j |
-39893216256/15523 |
j-invariant |
L |
0.95014203719292 |
L(r)(E,1)/r! |
Ω |
0.11876760885842 |
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 |
6536a1 |
Quadratic twists by: -19 |