Atkin-Lehner |
2- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56672bc |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
2606912 = 26 · 7 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 2 -4 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-110,476] |
[a1,a2,a3,a4,a6] |
j |
2320940224/40733 |
j-invariant |
L |
2.5669249612121 |
L(r)(E,1)/r! |
Ω |
2.5669249626148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56672c1 113344be2 |
Quadratic twists by: -4 8 |