Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
2550z |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
289800 |
Modular degree for the optimal curve |
Δ |
-2.0485555712755E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 2 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8795013,-12177716469] |
[a1,a2,a3,a4,a6] |
j |
-192607474931043120625/52443022624653312 |
j-invariant |
L |
1.9449439736863 |
L(r)(E,1)/r! |
Ω |
0.043220977193029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20400dy1 81600fa1 7650be1 2550j1 |
Quadratic twists by: -4 8 -3 5 |