Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304bf |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-14406966475259904 = -1 · 215 · 35 · 77 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 5 13+ -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,57951,-2144799] |
[a1,a2,a3,a4,a6] |
j |
5582912824/3737097 |
j-invariant |
L |
3.5958945764361 |
L(r)(E,1)/r! |
Ω |
0.22474346606133 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304dr1 61152z1 17472be1 |
Quadratic twists by: -4 8 -7 |