Atkin-Lehner |
2- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32674b |
Isogeny class |
Conductor |
32674 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-478939586444288 = -1 · 210 · 17 · 317 |
Discriminant |
Eigenvalues |
2- 0 0 -4 4 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,300,-1053001] |
[a1,a2,a3,a4,a6] |
j |
3375/539648 |
j-invariant |
L |
2.4150257736857 |
L(r)(E,1)/r! |
Ω |
0.24150257736805 |
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: -31 |