Atkin-Lehner |
2- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
8216c |
Isogeny class |
Conductor |
8216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6208 |
Modular degree for the optimal curve |
Δ |
-2310470656 = -1 · 210 · 134 · 79 |
Discriminant |
Eigenvalues |
2- -2 -2 -4 4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-424,-4224] |
[a1,a2,a3,a4,a6] |
j |
-8251733668/2256319 |
j-invariant |
L |
0.51856632244451 |
L(r)(E,1)/r! |
Ω |
0.51856632244451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16432b1 65728h1 73944h1 106808b1 |
Quadratic twists by: -4 8 -3 13 |