Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200fw |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-2358720000000 = -1 · 212 · 34 · 57 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2592,-52812] |
[a1,a2,a3,a4,a6] |
j |
30080231/36855 |
j-invariant |
L |
3.5057502813185 |
L(r)(E,1)/r! |
Ω |
0.43821880212379 |
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 |
6825a1 21840bc1 |
Quadratic twists by: -4 5 |