Atkin-Lehner |
2- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18496l |
Isogeny class |
Conductor |
18496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
-7589624095808 = -1 · 26 · 179 |
Discriminant |
Eigenvalues |
2- 0 -4 0 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4913,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
0.88583028240761 |
L(r)(E,1)/r! |
Ω |
0.44291514120381 |
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 |
18496l1 9248f2 18496k1 |
Quadratic twists by: -4 8 17 |