Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624bp |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
219648 |
Modular degree for the optimal curve |
Δ |
-18167954618112 = -1 · 28 · 3 · 138 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -1 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18308,-981408] |
[a1,a2,a3,a4,a6] |
Generators |
[6582:81458:27] |
Generators of the group modulo torsion |
j |
-3250000/87 |
j-invariant |
L |
9.0658316087366 |
L(r)(E,1)/r! |
Ω |
0.20489027252384 |
Real period |
R |
3.6872710368767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117624l1 |
Quadratic twists by: 13 |