Atkin-Lehner |
2- 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23616cf |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-9638792183808 = -1 · 214 · 315 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 4 5 -4 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,384,149344] |
[a1,a2,a3,a4,a6] |
j |
524288/807003 |
j-invariant |
L |
2.2776861464787 |
L(r)(E,1)/r! |
Ω |
0.56942153661971 |
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 |
23616w1 5904u1 7872bd1 |
Quadratic twists by: -4 8 -3 |