Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200dp |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-1795845427200 = -1 · 212 · 313 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ -4 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2580,-40160] |
[a1,a2,a3,a4,a6] |
Generators |
[29:243:1] |
Generators of the group modulo torsion |
j |
25442240/24057 |
j-invariant |
L |
4.3397752569254 |
L(r)(E,1)/r! |
Ω |
0.45707387793466 |
Real period |
R |
1.1868363802659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200br1 26400w1 79200cd1 |
Quadratic twists by: -4 -3 5 |