Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5152f |
Isogeny class |
Conductor |
5152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13271552 = 29 · 72 · 232 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -2 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64,72] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:14:1] |
Generators of the group modulo torsion |
j |
57512456/25921 |
j-invariant |
L |
2.2769988093269 |
L(r)(E,1)/r! |
Ω |
2.0092833116773 |
Real period |
R |
0.56661964892996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5152d2 10304bf2 46368x2 128800e2 |
Quadratic twists by: -4 8 -3 5 |