Atkin-Lehner |
2+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200w |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
324179200000000 = 214 · 58 · 373 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 3 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18133,-370637] |
[a1,a2,a3,a4,a6] |
j |
2575826944/1266325 |
j-invariant |
L |
2.5952782051009 |
L(r)(E,1)/r! |
Ω |
0.43254636786975 |
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 |
59200cx1 3700b1 11840j1 |
Quadratic twists by: -4 8 5 |