Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848bw |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-7040794078162944 = -1 · 212 · 36 · 119 |
Discriminant |
Eigenvalues |
2- 3- -1 0 11- 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8712,-4024944] |
[a1,a2,a3,a4,a6] |
j |
13824/1331 |
j-invariant |
L |
0.79704861442402 |
L(r)(E,1)/r! |
Ω |
0.19926215360164 |
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 |
34848bv1 69696fo1 3872f1 3168l1 |
Quadratic twists by: -4 8 -3 -11 |