Atkin-Lehner |
2+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44992l |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
218841088 = 214 · 192 · 37 |
Discriminant |
Eigenvalues |
2+ -1 2 5 3 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-597,5773] |
[a1,a2,a3,a4,a6] |
j |
1438646272/13357 |
j-invariant |
L |
3.5616874815215 |
L(r)(E,1)/r! |
Ω |
1.7808437406847 |
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 |
44992bn1 2812b1 |
Quadratic twists by: -4 8 |