Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
19800bo |
Isogeny class |
Conductor |
19800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-11276718750000 = -1 · 24 · 38 · 510 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5550,-27875] |
[a1,a2,a3,a4,a6] |
j |
103737344/61875 |
j-invariant |
L |
3.3511884134401 |
L(r)(E,1)/r! |
Ω |
0.41889855168001 |
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 |
39600v1 6600l1 3960f1 |
Quadratic twists by: -4 -3 5 |