Atkin-Lehner |
2- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600bu |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
43723463680000000 = 216 · 57 · 135 · 23 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 2 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-256675,-49030750] |
[a1,a2,a3,a4,a6] |
j |
29220958012401/683179120 |
j-invariant |
L |
8.4963425184934 |
L(r)(E,1)/r! |
Ω |
0.21240860481032 |
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 |
14950g1 23920o1 |
Quadratic twists by: -4 5 |