Atkin-Lehner |
2- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18496o |
Isogeny class |
Conductor |
18496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-446448476224 = -1 · 26 · 178 |
Discriminant |
Eigenvalues |
2- 2 2 -2 -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1252,36810] |
[a1,a2,a3,a4,a6] |
j |
-140608/289 |
j-invariant |
L |
3.34240663846 |
L(r)(E,1)/r! |
Ω |
0.83560165961499 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18496t1 9248c2 1088n1 |
Quadratic twists by: -4 8 17 |