Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200cu |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
925000000 = 26 · 58 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 -5 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-533,-4687] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:1:1] |
Generators of the group modulo torsion |
j |
16777216/925 |
j-invariant |
L |
5.2987384763435 |
L(r)(E,1)/r! |
Ω |
0.99687221169694 |
Real period |
R |
2.6576819045364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200z1 14800m1 11840x1 |
Quadratic twists by: -4 8 5 |