Atkin-Lehner |
2- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111320v |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
729600 |
Modular degree for the optimal curve |
Δ |
-3944203410400000 = -1 · 28 · 55 · 118 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 3 11- 4 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80505,-9323525] |
[a1,a2,a3,a4,a6] |
j |
-127233534976/8696875 |
j-invariant |
L |
2.8231540470182 |
L(r)(E,1)/r! |
Ω |
0.14115773125113 |
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 |
10120c1 |
Quadratic twists by: -11 |