Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148p |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-3057436264614698736 = -1 · 24 · 35 · 79 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- 1 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10116850,-12382486367] |
[a1,a2,a3,a4,a6] |
j |
-34339609640704/916839 |
j-invariant |
L |
2.0316494250809 |
L(r)(E,1)/r! |
Ω |
0.042326029667533 |
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 |
10164u1 6468f1 |
Quadratic twists by: -7 -11 |