Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160gn |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
9515827200000 = 223 · 3 · 55 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- -7 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50145,4336257] |
[a1,a2,a3,a4,a6] |
Generators |
[-256:575:1] [13:1920:1] |
Generators of the group modulo torsion |
j |
439632699649/300000 |
j-invariant |
L |
10.967579114236 |
L(r)(E,1)/r! |
Ω |
0.72091043950895 |
Real period |
R |
0.76067556461529 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160ef1 29040cw1 116160go1 |
Quadratic twists by: -4 8 -11 |