Atkin-Lehner |
2- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17918b |
Isogeny class |
Conductor |
17918 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-13025790835712 = -1 · 210 · 177 · 31 |
Discriminant |
Eigenvalues |
2- 0 0 4 4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,90,173621] |
[a1,a2,a3,a4,a6] |
j |
3375/539648 |
j-invariant |
L |
5.6150724620648 |
L(r)(E,1)/r! |
Ω |
0.56150724620647 |
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 |
1054a1 |
Quadratic twists by: 17 |