Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34272bj |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-144579127766976 = -1 · 26 · 318 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13119,-13120] |
[a1,a2,a3,a4,a6] |
j |
5352028359488/3098832471 |
j-invariant |
L |
2.0726046170215 |
L(r)(E,1)/r! |
Ω |
0.34543410283767 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34272be1 68544ek1 11424e1 |
Quadratic twists by: -4 8 -3 |