Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fc |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-4.9715876709116E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1974559,100837761] |
[a1,a2,a3,a4,a6] |
Generators |
[12953834416565141945:-692617131023348498432:8830337570694557] |
Generators of the group modulo torsion |
j |
1833318007919/1070530560 |
j-invariant |
L |
5.4893138913911 |
L(r)(E,1)/r! |
Ω |
0.10009565222058 |
Real period |
R |
27.420341022371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000098193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160cw1 29040dh1 10560bo1 |
Quadratic twists by: -4 8 -11 |