Atkin-Lehner |
2- 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
124872be |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
899825842084752 = 24 · 312 · 113 · 433 |
Discriminant |
Eigenvalues |
2- 3- -2 1 11+ -2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2223624,1275521157] |
[a1,a2,a3,a4,a6] |
Generators |
[-1722:1161:1] [843:-891:1] |
Generators of the group modulo torsion |
j |
57096557954974798592/42253279587 |
j-invariant |
L |
13.343924522041 |
L(r)(E,1)/r! |
Ω |
0.41369136585121 |
Real period |
R |
0.22399825130628 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124872k1 |
Quadratic twists by: -11 |