Atkin-Lehner |
2+ 3- 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59202g |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-1777429697472 = -1 · 26 · 310 · 112 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2286,-76140] |
[a1,a2,a3,a4,a6] |
j |
-1812724153057/2438175168 |
j-invariant |
L |
2.6311335693268 |
L(r)(E,1)/r! |
Ω |
0.32889169563462 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19734x1 |
Quadratic twists by: -3 |