Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192bg |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
1280530726526016 = 26 · 38 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-426022,-106871960] |
[a1,a2,a3,a4,a6] |
Generators |
[160041084:18331304200:12167] |
Generators of the group modulo torsion |
j |
1135671162482368/170067681 |
j-invariant |
L |
5.7695363872779 |
L(r)(E,1)/r! |
Ω |
0.18687248703301 |
Real period |
R |
15.437094225453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010974 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108192cc1 15456r1 |
Quadratic twists by: -4 -7 |