Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696gx |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-232753523245056 = -1 · 214 · 36 · 117 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11- 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17424,-1149984] |
[a1,a2,a3,a4,a6] |
j |
-27648/11 |
j-invariant |
L |
0.4075371219539 |
L(r)(E,1)/r! |
Ω |
0.20376856567016 |
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 |
69696dg1 17424w1 7744bk1 6336cl1 |
Quadratic twists by: -4 8 -3 -11 |