Atkin-Lehner |
2- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
69580f |
Isogeny class |
Conductor |
69580 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-74843587840 = -1 · 28 · 5 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 3 6 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,964,6056] |
[a1,a2,a3,a4,a6] |
Generators |
[471:4508:27] |
Generators of the group modulo torsion |
j |
3286064/2485 |
j-invariant |
L |
9.9009663522643 |
L(r)(E,1)/r! |
Ω |
0.69733628221661 |
Real period |
R |
3.5495666164903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9940f1 |
Quadratic twists by: -7 |