Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958bl |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-3386282277320773632 = -1 · 212 · 33 · 17 · 239 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -3 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1125723,468076113] |
[a1,a2,a3,a4,a6] |
Generators |
[1332:35835:1] |
Generators of the group modulo torsion |
j |
-1065740176698625/22874738688 |
j-invariant |
L |
10.942817240263 |
L(r)(E,1)/r! |
Ω |
0.25079567135424 |
Real period |
R |
0.30300278302213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2346k1 |
Quadratic twists by: -23 |