Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025bn |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3974400 |
Modular degree for the optimal curve |
Δ |
32826007255163175 = 36 · 52 · 239 |
Discriminant |
Eigenvalues |
-1 3- 5+ -5 5 3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6786905,-6803730318] |
[a1,a2,a3,a4,a6] |
Generators |
[4013988:14277870:1331] |
Generators of the group modulo torsion |
j |
1053224375 |
j-invariant |
L |
3.1835114511166 |
L(r)(E,1)/r! |
Ω |
0.093536613431181 |
Real period |
R |
8.5087309272193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998397985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13225e1 119025ck1 119025bl1 |
Quadratic twists by: -3 5 -23 |