Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119130bu |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
525849350400 = 28 · 32 · 52 · 113 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4235,99825] |
[a1,a2,a3,a4,a6] |
Generators |
[22:121:1] |
Generators of the group modulo torsion |
j |
1224699562099/76665600 |
j-invariant |
L |
17.117193609631 |
L(r)(E,1)/r! |
Ω |
0.91062851403919 |
Real period |
R |
0.39160666980094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119130j1 |
Quadratic twists by: -19 |