Atkin-Lehner |
3+ 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
86775g |
Isogeny class |
Conductor |
86775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
205632 |
Modular degree for the optimal curve |
Δ |
-23487614604675 = -1 · 37 · 52 · 136 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 0 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3198,-244674] |
[a1,a2,a3,a4,a6] |
j |
-144686352810505/939504584187 |
j-invariant |
L |
1.6967951342077 |
L(r)(E,1)/r! |
Ω |
0.28279920107195 |
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 |
86775x1 |
Quadratic twists by: 5 |