Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200cu |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
216513000000 = 26 · 39 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2025,27000] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:216:1] |
Generators of the group modulo torsion |
j |
46656/11 |
j-invariant |
L |
4.2058669336429 |
L(r)(E,1)/r! |
Ω |
0.938055907398 |
Real period |
R |
2.2417997183042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200co1 79200e1 3168f1 |
Quadratic twists by: -4 -3 5 |