Atkin-Lehner |
2+ 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440bj |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-396637053750000 = -1 · 24 · 39 · 57 · 73 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21027,1515071] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:945:1] [-145:1231:1] |
Generators of the group modulo torsion |
j |
-88147123642624/34005234375 |
j-invariant |
L |
12.809942726181 |
L(r)(E,1)/r! |
Ω |
0.50120030325406 |
Real period |
R |
0.15213410406858 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39480q1 |
Quadratic twists by: -3 |