Atkin-Lehner |
2- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
119852a |
Isogeny class |
Conductor |
119852 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5209920 |
Modular degree for the optimal curve |
Δ |
-155375688968388272 = -1 · 24 · 198 · 833 |
Discriminant |
Eigenvalues |
2- 1 2 3 5 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38835417,-93164495488] |
[a1,a2,a3,a4,a6] |
Generators |
[522270946490355627131304037537214506787014391:48582062744060151949389152055317434931363995993:42144629184538105930683654103315598174309] |
Generators of the group modulo torsion |
j |
-8605300751925035008/206415107 |
j-invariant |
L |
12.452493263672 |
L(r)(E,1)/r! |
Ω |
0.030238661558518 |
Real period |
R |
68.634504206773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6308a1 |
Quadratic twists by: -19 |