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 |
3681123883043263488 = 210 · 34 · 137 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3843792,-2900413008] |
[a1,a2,a3,a4,a6] |
Generators |
[2604:68952:1] |
Generators of the group modulo torsion |
j |
1270701054421348/744766893 |
j-invariant |
L |
10.889394279199 |
L(r)(E,1)/r! |
Ω |
0.10782633748721 |
Real period |
R |
3.1559411032158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9048p3 |
Quadratic twists by: 13 |