Atkin-Lehner |
2- 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71440d |
Isogeny class |
Conductor |
71440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-55012229120000 = -1 · 221 · 54 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 2 5 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3704,347380] |
[a1,a2,a3,a4,a6] |
j |
1371700960631/13430720000 |
j-invariant |
L |
3.6943891599572 |
L(r)(E,1)/r! |
Ω |
0.46179864792762 |
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 |
8930a1 |
Quadratic twists by: -4 |