Atkin-Lehner |
2- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10816be |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
835308258304 = 210 · 138 |
Discriminant |
Eigenvalues |
2- 1 -2 1 1 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2929,-43289] |
[a1,a2,a3,a4,a6] |
j |
3328 |
j-invariant |
L |
1.992088281702 |
L(r)(E,1)/r! |
Ω |
0.664029427234 |
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 |
10816h1 2704b1 97344fc1 10816bd1 |
Quadratic twists by: -4 8 -3 13 |