Atkin-Lehner |
2- 3- 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850cr |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
11929006080000 = 215 · 36 · 54 · 17 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6063,73017] |
[a1,a2,a3,a4,a6] |
Generators |
[72:69:1] [-78:309:1] |
Generators of the group modulo torsion |
j |
39437636193025/19086409728 |
j-invariant |
L |
18.516628180695 |
L(r)(E,1)/r! |
Ω |
0.63546351989341 |
Real period |
R |
0.9712924819028 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993608 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
119850o1 |
Quadratic twists by: 5 |