Atkin-Lehner |
2+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
8216a |
Isogeny class |
Conductor |
8216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-166160384 = -1 · 211 · 13 · 792 |
Discriminant |
Eigenvalues |
2+ -1 3 -1 0 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,136,76] |
[a1,a2,a3,a4,a6] |
j |
134838286/81133 |
j-invariant |
L |
2.2235238509634 |
L(r)(E,1)/r! |
Ω |
1.1117619254817 |
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 |
16432c1 65728b1 73944y1 106808g1 |
Quadratic twists by: -4 8 -3 13 |