Atkin-Lehner |
2+ 3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
54120d |
Isogeny class |
Conductor |
54120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
17859600000000 = 210 · 32 · 58 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13216,543920] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:1056:1] |
Generators of the group modulo torsion |
j |
249319763505796/17441015625 |
j-invariant |
L |
6.2567007084714 |
L(r)(E,1)/r! |
Ω |
0.67713459102137 |
Real period |
R |
2.309991540613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108240a1 |
Quadratic twists by: -4 |