Atkin-Lehner |
2+ 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450bg |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1589760 |
Modular degree for the optimal curve |
Δ |
106733152449331200 = 223 · 311 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -5 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-344502,-76138124] |
[a1,a2,a3,a4,a6] |
j |
248103063516113545/5856414400512 |
j-invariant |
L |
0.78938008925361 |
L(r)(E,1)/r! |
Ω |
0.19734496318512 |
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 |
33150bn1 99450dn1 |
Quadratic twists by: -3 5 |