Atkin-Lehner |
5- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22475g |
Isogeny class |
Conductor |
22475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-50919921875 = -1 · 59 · 292 · 31 |
Discriminant |
Eigenvalues |
0 1 5- -2 0 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,917,2244] |
[a1,a2,a3,a4,a6] |
Generators |
[66:1799:27] |
Generators of the group modulo torsion |
j |
43614208/26071 |
j-invariant |
L |
4.3631496286849 |
L(r)(E,1)/r! |
Ω |
0.68834510503008 |
Real period |
R |
1.5846519415919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22475h1 |
Quadratic twists by: 5 |