Atkin-Lehner |
2+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89888f |
Isogeny class |
Conductor |
89888 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57888 |
Modular degree for the optimal curve |
Δ |
-4039926272 = -1 · 29 · 534 |
Discriminant |
Eigenvalues |
2+ -1 4 2 0 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-936,-11132] |
[a1,a2,a3,a4,a6] |
j |
-22472 |
j-invariant |
L |
3.4432908907069 |
L(r)(E,1)/r! |
Ω |
0.43041135677471 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89888m1 89888g1 |
Quadratic twists by: -4 53 |