Atkin-Lehner |
2- 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
56074d |
Isogeny class |
Conductor |
56074 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
110400 |
Modular degree for the optimal curve |
Δ |
16601928879572 = 22 · 238 · 53 |
Discriminant |
Eigenvalues |
2- 0 -2 -3 1 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9886,-321095] |
[a1,a2,a3,a4,a6] |
Generators |
[-1977:3091:27] |
Generators of the group modulo torsion |
j |
1364337/212 |
j-invariant |
L |
6.0214101518104 |
L(r)(E,1)/r! |
Ω |
0.48380108533801 |
Real period |
R |
2.0743408583745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56074e1 |
Quadratic twists by: -23 |