Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200fc |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
143829504000000000 = 218 · 32 · 59 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-266208,-49529088] |
[a1,a2,a3,a4,a6] |
Generators |
[-304:1792:1] |
Generators of the group modulo torsion |
j |
260794641869/17978688 |
j-invariant |
L |
6.4539237976368 |
L(r)(E,1)/r! |
Ω |
0.21109331434791 |
Real period |
R |
1.9108622025347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650dc1 109200gs1 |
Quadratic twists by: -4 5 |