Atkin-Lehner |
23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22103a |
Isogeny class |
Conductor |
22103 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
74400 |
Modular degree for the optimal curve |
Δ |
451179358806289 = 232 · 318 |
Discriminant |
Eigenvalues |
-1 1 1 3 5 -5 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19240,102079] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:1097:1] |
Generators of the group modulo torsion |
j |
923521/529 |
j-invariant |
L |
4.6934514665323 |
L(r)(E,1)/r! |
Ω |
0.45153416991929 |
Real period |
R |
5.1972273409244 |
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 |
22103c1 |
Quadratic twists by: -31 |