Atkin-Lehner |
2- 3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188p |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-970727820799355136 = -1 · 28 · 37 · 78 · 673 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -6 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-340599,90003886] |
[a1,a2,a3,a4,a6] |
Generators |
[-657:5494:1] [170:6084:1] |
Generators of the group modulo torsion |
j |
-4061645392/902289 |
j-invariant |
L |
9.3223492316086 |
L(r)(E,1)/r! |
Ω |
0.26602378999411 |
Real period |
R |
5.8405485931859 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999969794 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
39396j2 118188bk2 |
Quadratic twists by: -3 -7 |