Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510ei |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-27230118300 = -1 · 22 · 38 · 52 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-167,-7941] |
[a1,a2,a3,a4,a6] |
j |
-2048383/108900 |
j-invariant |
L |
4.1630347665335 |
L(r)(E,1)/r! |
Ω |
0.52037934577027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170f1 48510dl1 |
Quadratic twists by: -3 -7 |