Atkin-Lehner |
3- 5- 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
122475w |
Isogeny class |
Conductor |
122475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
162048 |
Modular degree for the optimal curve |
Δ |
83348524125 = 34 · 53 · 23 · 713 |
Discriminant |
Eigenvalues |
2 3- 5- 0 3 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3598,-83111] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:269:8] |
Generators of the group modulo torsion |
j |
41220938461184/666788193 |
j-invariant |
L |
18.927809654835 |
L(r)(E,1)/r! |
Ω |
0.61702121713536 |
Real period |
R |
3.8345135326422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122475m1 |
Quadratic twists by: 5 |