Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200cs |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
9472000000 = 214 · 56 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 -3 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3333,-75037] |
[a1,a2,a3,a4,a6] |
Generators |
[-2108:625:64] |
Generators of the group modulo torsion |
j |
16000000/37 |
j-invariant |
L |
4.9102081308711 |
L(r)(E,1)/r! |
Ω |
0.62840584387573 |
Real period |
R |
3.9068765660069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200y1 14800b1 2368k1 |
Quadratic twists by: -4 8 5 |