Atkin-Lehner |
2- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
22550bc |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-14333414218750 = -1 · 2 · 57 · 113 · 413 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16088,-812969] |
[a1,a2,a3,a4,a6] |
j |
-29472131485369/917338510 |
j-invariant |
L |
7.6164196748636 |
L(r)(E,1)/r! |
Ω |
0.21156721319066 |
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 |
4510b1 |
Quadratic twists by: 5 |