Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200gq |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-419328000000000 = -1 · 218 · 32 · 59 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12208,1109588] |
[a1,a2,a3,a4,a6] |
j |
-25153757/52416 |
j-invariant |
L |
1.888610201841 |
L(r)(E,1)/r! |
Ω |
0.47215264408647 |
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 |
13650cd1 109200fa1 |
Quadratic twists by: -4 5 |