Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ef |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2978917375807586304 = 222 · 36 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-428129,-68918529] |
[a1,a2,a3,a4,a6] |
j |
281397674377/96589584 |
j-invariant |
L |
2.3022461050111 |
L(r)(E,1)/r! |
Ω |
0.19185384362134 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122304gg2 3822d2 17472a2 |
Quadratic twists by: -4 8 -7 |