Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160br |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
1370279116800000 = 227 · 33 · 55 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 11- 5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-328225,-72246623] |
[a1,a2,a3,a4,a6] |
Generators |
[-333:124:1] |
Generators of the group modulo torsion |
j |
123286270205329/43200000 |
j-invariant |
L |
7.7361502873184 |
L(r)(E,1)/r! |
Ω |
0.19946452306871 |
Real period |
R |
3.8784592654513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160jb1 3630h1 116160bx1 |
Quadratic twists by: -4 8 -11 |