Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800dh |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
45927000000 = 26 · 38 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,29500] |
[a1,a2,a3,a4,a6] |
j |
1000000/63 |
j-invariant |
L |
2.2312273498509 |
L(r)(E,1)/r! |
Ω |
1.1156137196019 |
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 |
100800fe1 50400db2 33600ch1 4032m1 |
Quadratic twists by: -4 8 -3 5 |