Atkin-Lehner |
2- 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
8784i |
Isogeny class |
Conductor |
8784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-9835831296 = -1 · 213 · 39 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 6 -6 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1107,-14958] |
[a1,a2,a3,a4,a6] |
j |
-1860867/122 |
j-invariant |
L |
1.6491154466292 |
L(r)(E,1)/r! |
Ω |
0.41227886165731 |
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 |
1098a1 35136bo1 8784j1 |
Quadratic twists by: -4 8 -3 |