Atkin-Lehner |
2- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18130o |
Isogeny class |
Conductor |
18130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-4726822278045437500 = -1 · 22 · 56 · 79 · 374 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-201391,110151313] |
[a1,a2,a3,a4,a6] |
j |
-22385235204487/117135062500 |
j-invariant |
L |
6.763156500042 |
L(r)(E,1)/r! |
Ω |
0.21134864062631 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90650l1 18130t1 |
Quadratic twists by: 5 -7 |