Atkin-Lehner |
5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50255c |
Isogeny class |
Conductor |
50255 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-323458417465 = -1 · 5 · 19 · 237 |
Discriminant |
Eigenvalues |
1 2 5- 0 5 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1862,-42079] |
[a1,a2,a3,a4,a6] |
Generators |
[5377657192:374598495379:1092727] |
Generators of the group modulo torsion |
j |
-4826809/2185 |
j-invariant |
L |
12.6421769576 |
L(r)(E,1)/r! |
Ω |
0.35559295051903 |
Real period |
R |
17.776191765258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2185a1 |
Quadratic twists by: -23 |