Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13120bb |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
2686976000000 = 222 · 56 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10721,-423521] |
[a1,a2,a3,a4,a6] |
j |
519912412921/10250000 |
j-invariant |
L |
0.93948014892565 |
L(r)(E,1)/r! |
Ω |
0.46974007446283 |
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 |
13120c1 3280j1 118080gb1 65600bh1 |
Quadratic twists by: -4 8 -3 5 |