Atkin-Lehner |
2- 3+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86100o |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-1743852782700000000 = -1 · 28 · 311 · 58 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -2 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,199667,-53521463] |
[a1,a2,a3,a4,a6] |
j |
8803196887040/17438527827 |
j-invariant |
L |
0.82985163774079 |
L(r)(E,1)/r! |
Ω |
0.13830860576654 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86100bb1 |
Quadratic twists by: 5 |