Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624bq |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-518894951847896832 = -1 · 28 · 3 · 1312 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -4 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45348,34841184] |
[a1,a2,a3,a4,a6] |
Generators |
[-292:4824:1] |
Generators of the group modulo torsion |
j |
-8346562000/419932383 |
j-invariant |
L |
5.5228177885971 |
L(r)(E,1)/r! |
Ω |
0.24311042299717 |
Real period |
R |
5.6793305003569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9048g2 |
Quadratic twists by: 13 |