Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
22090b |
Isogeny class |
Conductor |
22090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
247296 |
Modular degree for the optimal curve |
Δ |
158319725144687500 = 22 · 57 · 477 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 -1 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-215423,-33475223] |
[a1,a2,a3,a4,a6] |
j |
102568953241/14687500 |
j-invariant |
L |
0.89487220869201 |
L(r)(E,1)/r! |
Ω |
0.22371805217301 |
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 |
110450t1 470c1 |
Quadratic twists by: 5 -47 |