Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025bs |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-655602840717075 = -1 · 311 · 52 · 236 |
Discriminant |
Eigenvalues |
2 3- 5+ -3 2 -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,7935,1201491] |
[a1,a2,a3,a4,a6] |
Generators |
[1762490:74094943:1000] |
Generators of the group modulo torsion |
j |
20480/243 |
j-invariant |
L |
11.90856394994 |
L(r)(E,1)/r! |
Ω |
0.37755106036308 |
Real period |
R |
7.8853995991416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39675bi1 119025cw2 225d1 |
Quadratic twists by: -3 5 -23 |