Atkin-Lehner |
2+ 11- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
94622d |
Isogeny class |
Conductor |
94622 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
16705543809794048 = 220 · 116 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 0 2 0 11- -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63971,-320875] |
[a1,a2,a3,a4,a6] |
Generators |
[-3075:64730:27] |
Generators of the group modulo torsion |
j |
16342588257633/9429843968 |
j-invariant |
L |
4.1452902941375 |
L(r)(E,1)/r! |
Ω |
0.3274552405919 |
Real period |
R |
6.3295525424249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999828718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
782e1 |
Quadratic twists by: -11 |