Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160iv |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
684288 |
Modular degree for the optimal curve |
Δ |
-6750761367556800 = -1 · 26 · 39 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- -2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24845,4222425] |
[a1,a2,a3,a4,a6] |
Generators |
[40:1815:1] |
Generators of the group modulo torsion |
j |
-123633664/492075 |
j-invariant |
L |
10.315640147604 |
L(r)(E,1)/r! |
Ω |
0.36751775811033 |
Real period |
R |
0.51978542421744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999631976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160bu1 29040bz1 116160iz1 |
Quadratic twists by: -4 8 -11 |