Atkin-Lehner |
2+ 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160bm |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-2759961600 = -1 · 210 · 34 · 52 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,235,2037] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:36:1] [4:55:1] |
Generators of the group modulo torsion |
j |
1048576/2025 |
j-invariant |
L |
9.2887277059579 |
L(r)(E,1)/r! |
Ω |
0.98933313047573 |
Real period |
R |
2.3472194097072 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998728 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160ip1 7260l1 116160bl1 |
Quadratic twists by: -4 8 -11 |