Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944x |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-5412332417336064 = -1 · 28 · 318 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 11- -6 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-447951,115451102] |
[a1,a2,a3,a4,a6] |
j |
-53265713623008208/29001266811 |
j-invariant |
L |
5.0834772578173 |
L(r)(E,1)/r! |
Ω |
0.42362310653848 |
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 |
32472g1 21648a1 |
Quadratic twists by: -4 -3 |