Atkin-Lehner |
2+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
114376b |
Isogeny class |
Conductor |
114376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
2588671092992 = 28 · 17 · 296 |
Discriminant |
Eigenvalues |
2+ 2 -2 -2 6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3644,35540] |
[a1,a2,a3,a4,a6] |
Generators |
[-8265403:37558092:148877] |
Generators of the group modulo torsion |
j |
35152/17 |
j-invariant |
L |
8.9824448240556 |
L(r)(E,1)/r! |
Ω |
0.7218173666031 |
Real period |
R |
12.444207141209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954627 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
136a1 |
Quadratic twists by: 29 |