Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696gg |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-1.3272536909526E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 11- 5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-942348,-393315824] |
[a1,a2,a3,a4,a6] |
j |
-2259169/324 |
j-invariant |
L |
0.91213733482765 |
L(r)(E,1)/r! |
Ω |
0.076011445180363 |
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 |
69696ca1 17424bs1 23232do1 69696ge1 |
Quadratic twists by: -4 8 -3 -11 |