Atkin-Lehner |
2+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
114400b |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-1859000000000 = -1 · 29 · 59 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 1 5+ -5 11+ 13- 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,-65812] |
[a1,a2,a3,a4,a6] |
j |
-941192/232375 |
j-invariant |
L |
2.9806394406504 |
L(r)(E,1)/r! |
Ω |
0.37257991206631 |
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 |
114400h1 22880d1 |
Quadratic twists by: -4 5 |