Atkin-Lehner |
2- 3- 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
55476j |
Isogeny class |
Conductor |
55476 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
264000 |
Modular degree for the optimal curve |
Δ |
-1222271730867312 = -1 · 24 · 311 · 235 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 6 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-187545,-31306471] |
[a1,a2,a3,a4,a6] |
Generators |
[1105:33327:1] |
Generators of the group modulo torsion |
j |
-62545010800864000/104790100383 |
j-invariant |
L |
6.4975298245989 |
L(r)(E,1)/r! |
Ω |
0.11469634399267 |
Real period |
R |
1.8883280839269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18492b1 |
Quadratic twists by: -3 |