Atkin-Lehner |
3- 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44505b |
Isogeny class |
Conductor |
44505 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
19432691015625 = 37 · 58 · 232 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14670,-646529] |
[a1,a2,a3,a4,a6] |
j |
478964336951521/26656640625 |
j-invariant |
L |
0.87061239602453 |
L(r)(E,1)/r! |
Ω |
0.43530619798875 |
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 |
14835a1 |
Quadratic twists by: -3 |