Atkin-Lehner |
2+ 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568g |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-32992275456 = -1 · 210 · 33 · 75 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -1 -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40179,3099906] |
[a1,a2,a3,a4,a6] |
Generators |
[-207:1596:1] [115:-14:1] |
Generators of the group modulo torsion |
j |
-259452202621356/1193297 |
j-invariant |
L |
9.1672912743066 |
L(r)(E,1)/r! |
Ω |
1.0302946382468 |
Real period |
R |
0.22244343836137 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35784o1 71568h1 |
Quadratic twists by: -4 -3 |