Atkin-Lehner |
2+ 3- 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
18690i |
Isogeny class |
Conductor |
18690 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-100926000 = -1 · 24 · 34 · 53 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -1 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38,488] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-35:1] |
Generators of the group modulo torsion |
j |
-5841725401/100926000 |
j-invariant |
L |
4.5086268599783 |
L(r)(E,1)/r! |
Ω |
1.5944286378312 |
Real period |
R |
0.11782242744625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56070w1 93450ca1 |
Quadratic twists by: -3 5 |