Atkin-Lehner |
2+ 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
86320j |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-145880800000 = -1 · 28 · 55 · 133 · 83 |
Discriminant |
Eigenvalues |
2+ 2 5- 1 4 13- -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-265,-18363] |
[a1,a2,a3,a4,a6] |
Generators |
[282:975:8] |
Generators of the group modulo torsion |
j |
-8069733376/569846875 |
j-invariant |
L |
11.79735589786 |
L(r)(E,1)/r! |
Ω |
0.45429058712443 |
Real period |
R |
1.7312495901975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43160f1 |
Quadratic twists by: -4 |