Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ga |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
300699549696 = 216 · 3 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-163137,-25307295] |
[a1,a2,a3,a4,a6] |
j |
62275269892/39 |
j-invariant |
L |
1.9004262788987 |
L(r)(E,1)/r! |
Ω |
0.23755338937715 |
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 |
122304ed4 30576w4 2496bb3 |
Quadratic twists by: -4 8 -7 |