Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
107800by |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
105503064301250000 = 24 · 57 · 78 · 114 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-149450,-15820875] |
[a1,a2,a3,a4,a6] |
j |
12551141376/3587045 |
j-invariant |
L |
1.9847817241951 |
L(r)(E,1)/r! |
Ω |
0.24809768418166 |
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 |
21560e1 15400n1 |
Quadratic twists by: 5 -7 |