Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304bb |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.4699313740616E+28 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,714940511,1742136902689] |
[a1,a2,a3,a4,a6] |
j |
3820420340137317041/2334869460099072 |
j-invariant |
L |
2.3286010674125 |
L(r)(E,1)/r! |
Ω |
0.023286011086276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304hm2 3822q2 122304ee2 |
Quadratic twists by: -4 8 -7 |