Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696fp |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-110012407471296 = -1 · 26 · 36 · 119 |
Discriminant |
Eigenvalues |
2- 3- 1 0 11- -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2178,503118] |
[a1,a2,a3,a4,a6] |
j |
13824/1331 |
j-invariant |
L |
0.90970904041407 |
L(r)(E,1)/r! |
Ω |
0.45485453563301 |
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 |
69696fo1 34848bv1 7744bi1 6336cf1 |
Quadratic twists by: -4 8 -3 -11 |