Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117624t |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1152266185744517376 = 28 · 38 · 138 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-284652,-27475200] |
[a1,a2,a3,a4,a6] |
Generators |
[72234:6852105:8] |
Generators of the group modulo torsion |
j |
2064276542032/932508369 |
j-invariant |
L |
10.889394279199 |
L(r)(E,1)/r! |
Ω |
0.21565267497442 |
Real period |
R |
6.3118822064317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021741 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9048p2 |
Quadratic twists by: 13 |