Atkin-Lehner |
2- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
69680t |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
188414720 = 28 · 5 · 133 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ -5 0 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-436,-3300] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:39:8] |
Generators of the group modulo torsion |
j |
35887146064/735995 |
j-invariant |
L |
6.1761800950196 |
L(r)(E,1)/r! |
Ω |
1.045891032044 |
Real period |
R |
1.9683950195321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17420e1 |
Quadratic twists by: -4 |