Atkin-Lehner |
2- 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118490u |
Isogeny class |
Conductor |
118490 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1540608 |
Modular degree for the optimal curve |
Δ |
-9724205872754000 = -1 · 24 · 53 · 179 · 41 |
Discriminant |
Eigenvalues |
2- 3 5- -1 -2 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18117,-4831859] |
[a1,a2,a3,a4,a6] |
Generators |
[50943:2180452:27] |
Generators of the group modulo torsion |
j |
-5545233/82000 |
j-invariant |
L |
21.123516068192 |
L(r)(E,1)/r! |
Ω |
0.17502000731396 |
Real period |
R |
5.0288336450471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118490p1 |
Quadratic twists by: 17 |