Atkin-Lehner |
2- 3+ 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
86814x |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1009152 |
Modular degree for the optimal curve |
Δ |
-233052538234727484 = -1 · 22 · 39 · 76 · 132 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3481,23225563] |
[a1,a2,a3,a4,a6] |
j |
237061729269/11840295596948 |
j-invariant |
L |
3.9671041673419 |
L(r)(E,1)/r! |
Ω |
0.24794401066709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86814b1 |
Quadratic twists by: -3 |