Atkin-Lehner |
2- 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
74448bb |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-10017321456384 = -1 · 28 · 36 · 11 · 474 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11+ 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5352,21836] |
[a1,a2,a3,a4,a6] |
j |
90845732864/53676491 |
j-invariant |
L |
3.5291085718733 |
L(r)(E,1)/r! |
Ω |
0.44113857523278 |
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 |
18612j1 8272n1 |
Quadratic twists by: -4 -3 |