Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200bu |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-153531269120000 = -1 · 217 · 54 · 374 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 3 0 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3167,591137] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:740:1] |
Generators of the group modulo torsion |
j |
42868750/1874161 |
j-invariant |
L |
4.3291515353437 |
L(r)(E,1)/r! |
Ω |
0.43754344104164 |
Real period |
R |
0.41225921143363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200dw1 7400c1 59200d1 |
Quadratic twists by: -4 8 5 |