Atkin-Lehner |
2+ 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
86320f |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-9514535680 = -1 · 28 · 5 · 13 · 833 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 2 13- -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1716,-28340] |
[a1,a2,a3,a4,a6] |
Generators |
[106:996:1] |
Generators of the group modulo torsion |
j |
-2184181167184/37166155 |
j-invariant |
L |
2.73637252815 |
L(r)(E,1)/r! |
Ω |
0.37049337878737 |
Real period |
R |
1.2309588082258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43160c1 |
Quadratic twists by: -4 |