Atkin-Lehner |
5+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22475f |
Isogeny class |
Conductor |
22475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-210922607421875 = -1 · 512 · 29 · 313 |
Discriminant |
Eigenvalues |
0 -1 5+ 1 3 4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6533,-725532] |
[a1,a2,a3,a4,a6] |
Generators |
[162:1562:1] |
Generators of the group modulo torsion |
j |
-1973822685184/13499046875 |
j-invariant |
L |
3.9621143201402 |
L(r)(E,1)/r! |
Ω |
0.23590295703103 |
Real period |
R |
1.3996271920474 |
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 |
4495c2 |
Quadratic twists by: 5 |