Atkin-Lehner |
31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45167a |
Isogeny class |
Conductor |
45167 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1026720 |
Modular degree for the optimal curve |
Δ |
1884036301707169 = 318 · 472 |
Discriminant |
Eigenvalues |
-1 -3 -3 1 -3 -3 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-873249,314302032] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:22703:1] |
Generators of the group modulo torsion |
j |
86346350433/2209 |
j-invariant |
L |
0.89600335868368 |
L(r)(E,1)/r! |
Ω |
0.43452027335476 |
Real period |
R |
0.34367531798028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45167d1 |
Quadratic twists by: -31 |