Atkin-Lehner |
2- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28594h |
Isogeny class |
Conductor |
28594 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-20419437581520896 = -1 · 212 · 172 · 297 |
Discriminant |
Eigenvalues |
2- 1 1 -2 -1 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8752725,-9967699231] |
[a1,a2,a3,a4,a6] |
j |
-124671038996895481/34328576 |
j-invariant |
L |
4.213131007091 |
L(r)(E,1)/r! |
Ω |
0.043886781323862 |
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 |
986b1 |
Quadratic twists by: 29 |