Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10400p |
Isogeny class |
Conductor |
10400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
160636203520000 = 212 · 54 · 137 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 -2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39133,2903563] |
[a1,a2,a3,a4,a6] |
j |
2588953638400/62748517 |
j-invariant |
L |
1.1479994524934 |
L(r)(E,1)/r! |
Ω |
0.5739997262467 |
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 |
10400ba1 20800by1 93600ew1 10400w1 |
Quadratic twists by: -4 8 -3 5 |