Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696fm |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-184340790410084352 = -1 · 217 · 38 · 118 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,137940,-6154544] |
[a1,a2,a3,a4,a6] |
j |
1714750/1089 |
j-invariant |
L |
1.4680839152531 |
L(r)(E,1)/r! |
Ω |
0.18351049099915 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696bl2 17424q2 23232dl2 6336bv2 |
Quadratic twists by: -4 8 -3 -11 |