Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cz |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
299322946560 = 210 · 3 · 5 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26781,1677795] |
[a1,a2,a3,a4,a6] |
Generators |
[14180:165285:64] |
Generators of the group modulo torsion |
j |
1171019776/165 |
j-invariant |
L |
7.4763974907481 |
L(r)(E,1)/r! |
Ω |
0.936994774262 |
Real period |
R |
7.9791239917766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160ff1 14520be1 10560p1 |
Quadratic twists by: -4 8 -11 |