Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15162bf |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
123120 |
Modular degree for the optimal curve |
Δ |
-10066225748652864 = -1 · 26 · 33 · 73 · 198 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43869,5980401] |
[a1,a2,a3,a4,a6] |
j |
-549754417/592704 |
j-invariant |
L |
6.6608673872551 |
L(r)(E,1)/r! |
Ω |
0.37004818818084 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
121296bt1 45486o1 106134ca1 15162h1 |
Quadratic twists by: -4 -3 -7 -19 |