Atkin-Lehner |
2- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41624p |
Isogeny class |
Conductor |
41624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-858059113472 = -1 · 210 · 117 · 43 |
Discriminant |
Eigenvalues |
2- 1 0 0 11- -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1008,-46576] |
[a1,a2,a3,a4,a6] |
j |
-62500/473 |
j-invariant |
L |
1.4973858850042 |
L(r)(E,1)/r! |
Ω |
0.37434647123039 |
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 |
83248m1 3784a1 |
Quadratic twists by: -4 -11 |