Atkin-Lehner |
2- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28594i |
Isogeny class |
Conductor |
28594 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-35963474432 = -1 · 29 · 174 · 292 |
Discriminant |
Eigenvalues |
2- 1 4 4 5 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,229,-9007] |
[a1,a2,a3,a4,a6] |
j |
1578758231/42762752 |
j-invariant |
L |
10.080910261541 |
L(r)(E,1)/r! |
Ω |
0.5600505700856 |
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 |
28594g1 |
Quadratic twists by: 29 |