Atkin-Lehner |
2+ 3- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582o |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3480807004539641604 = -1 · 22 · 34 · 1710 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,372370,-20170924] |
[a1,a2,a3,a4,a6] |
j |
236567954492423/144207024516 |
j-invariant |
L |
2.3212854295685 |
L(r)(E,1)/r! |
Ω |
0.14508033071697 |
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 |
7446c2 |
Quadratic twists by: 17 |