Atkin-Lehner |
2- 3- 5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
118170bb |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
360960 |
Modular degree for the optimal curve |
Δ |
-4778227584000 = -1 · 210 · 37 · 53 · 132 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -3 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5522,191121] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:-561:1] [-522:4417:8] |
Generators of the group modulo torsion |
j |
-25539456805849/6554496000 |
j-invariant |
L |
15.878730041549 |
L(r)(E,1)/r! |
Ω |
0.73350470486101 |
Real period |
R |
0.090198978610657 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39390a1 |
Quadratic twists by: -3 |