Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13328g |
Isogeny class |
Conductor |
13328 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-25088413952 = -1 · 28 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 5 -5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,572,5704] |
[a1,a2,a3,a4,a6] |
j |
14000/17 |
j-invariant |
L |
2.3972386800958 |
L(r)(E,1)/r! |
Ω |
0.79907956003193 |
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 |
3332b1 53312bi1 119952dv1 13328s1 |
Quadratic twists by: -4 8 -3 -7 |