Atkin-Lehner |
23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
41791a |
Isogeny class |
Conductor |
41791 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54912 |
Modular degree for the optimal curve |
Δ |
6186567837199 = 238 · 79 |
Discriminant |
Eigenvalues |
1 1 1 -3 0 -1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12443,519595] |
[a1,a2,a3,a4,a6] |
j |
1439069689/41791 |
j-invariant |
L |
1.5026635342624 |
L(r)(E,1)/r! |
Ω |
0.75133176717074 |
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 |
1817a1 |
Quadratic twists by: -23 |