Atkin-Lehner |
2- 3- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22110r |
Isogeny class |
Conductor |
22110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
9728400 = 24 · 3 · 52 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-90,-300] |
[a1,a2,a3,a4,a6] |
j |
80677568161/9728400 |
j-invariant |
L |
6.2486714105113 |
L(r)(E,1)/r! |
Ω |
1.5621678526278 |
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 |
66330m1 110550g1 |
Quadratic twists by: -3 5 |