Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848cr |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-46221504 = -1 · 26 · 3 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 1 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,79,213] |
[a1,a2,a3,a4,a6] |
j |
841232384/722211 |
j-invariant |
L |
2.6200233048638 |
L(r)(E,1)/r! |
Ω |
1.3100116524319 |
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 |
22848a1 5712o1 68544er1 |
Quadratic twists by: -4 8 -3 |