Atkin-Lehner |
13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10933a |
Isogeny class |
Conductor |
10933 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
84541643790409 = 132 · 298 |
Discriminant |
Eigenvalues |
-1 0 -2 0 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11091,-77254] |
[a1,a2,a3,a4,a6] |
j |
253636137/142129 |
j-invariant |
L |
1.0000388403878 |
L(r)(E,1)/r! |
Ω |
0.5000194201939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98397x2 377a2 |
Quadratic twists by: -3 29 |