Atkin-Lehner |
2- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28594j |
Isogeny class |
Conductor |
28594 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-338994569224468 = -1 · 22 · 173 · 297 |
Discriminant |
Eigenvalues |
2- 2 0 5 0 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7972,-839087] |
[a1,a2,a3,a4,a6] |
j |
94196375/569908 |
j-invariant |
L |
8.6501787547419 |
L(r)(E,1)/r! |
Ω |
0.27031808608565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
986a1 |
Quadratic twists by: 29 |