Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696gs |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-127481080725504 = -1 · 214 · 312 · 114 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11- -5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18876,-1136432] |
[a1,a2,a3,a4,a6] |
j |
-4253392/729 |
j-invariant |
L |
1.6141136572083 |
L(r)(E,1)/r! |
Ω |
0.20176420432112 |
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 |
69696da1 17424ce1 23232dt1 69696gr1 |
Quadratic twists by: -4 8 -3 -11 |