Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414v |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-12563749489914 = -1 · 2 · 37 · 7 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -1 3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2547,162567] |
[a1,a2,a3,a4,a6] |
j |
103823/714 |
j-invariant |
L |
2.0675691386349 |
L(r)(E,1)/r! |
Ω |
0.51689228466386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138x1 2142i1 |
Quadratic twists by: -3 17 |