Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160dl |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
133816320000000 = 219 · 33 · 57 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 3 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24801,-1404801] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:300:1] |
Generators of the group modulo torsion |
j |
53189206081/4218750 |
j-invariant |
L |
7.4115278264918 |
L(r)(E,1)/r! |
Ω |
0.38234900272822 |
Real period |
R |
3.2306992319774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160fo1 3630f1 116160di1 |
Quadratic twists by: -4 8 -11 |