Atkin-Lehner |
2- 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25440bg |
Isogeny class |
Conductor |
25440 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-18316800 = -1 · 29 · 33 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80,-372] |
[a1,a2,a3,a4,a6] |
j |
-111980168/35775 |
j-invariant |
L |
4.707351881878 |
L(r)(E,1)/r! |
Ω |
0.78455864697968 |
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 |
25440y1 50880ci1 76320i1 127200g1 |
Quadratic twists by: -4 8 -3 5 |