Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
26550cd |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-688176000000 = -1 · 210 · 36 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -2 6 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5630,-166003] |
[a1,a2,a3,a4,a6] |
j |
-1732323601/60416 |
j-invariant |
L |
2.7501673977369 |
L(r)(E,1)/r! |
Ω |
0.27501673977368 |
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 |
2950a1 1062d1 |
Quadratic twists by: -3 5 |