Atkin-Lehner |
2- 3- 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050ce |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
588 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-2384549194950000000 = -1 · 27 · 314 · 58 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -4 13+ 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-303013,98166017] |
[a1,a2,a3,a4,a6] |
Generators |
[302:-6001:1] |
Generators of the group modulo torsion |
j |
-7876758868756465/6104445939072 |
j-invariant |
L |
14.756260456587 |
L(r)(E,1)/r! |
Ω |
0.23721774683118 |
Real period |
R |
0.10579175168372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050m1 |
Quadratic twists by: 5 |