Atkin-Lehner |
2- 5+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
116560q |
Isogeny class |
Conductor |
116560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-4218569359360 = -1 · 218 · 5 · 31 · 473 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 -2 -6 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4024,-9356] |
[a1,a2,a3,a4,a6] |
Generators |
[12:202:1] [20:282:1] |
Generators of the group modulo torsion |
j |
1758853833911/1029924160 |
j-invariant |
L |
5.9925196387649 |
L(r)(E,1)/r! |
Ω |
0.45854737226815 |
Real period |
R |
2.1780808989536 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14570a1 |
Quadratic twists by: -4 |