Atkin-Lehner |
11- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
59653a |
Isogeny class |
Conductor |
59653 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
162000 |
Modular degree for the optimal curve |
Δ |
-12486707755181 = -1 · 116 · 172 · 293 |
Discriminant |
Eigenvalues |
1 -3 1 2 11- -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6859,-275258] |
[a1,a2,a3,a4,a6] |
j |
-20145851361/7048421 |
j-invariant |
L |
0.51552262550196 |
L(r)(E,1)/r! |
Ω |
0.25776131060836 |
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 |
493b1 |
Quadratic twists by: -11 |