Atkin-Lehner |
2- 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
69454p |
Isogeny class |
Conductor |
69454 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
2287762189571748736 = 27 · 75 · 1110 · 41 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 11- 2 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1823896,944530137] |
[a1,a2,a3,a4,a6] |
j |
378763245046164889/1291382114176 |
j-invariant |
L |
3.644086363905 |
L(r)(E,1)/r! |
Ω |
0.2602918829214 |
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 |
6314f1 |
Quadratic twists by: -11 |