Atkin-Lehner |
2+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10816c |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13364932132864 = -1 · 214 · 138 |
Discriminant |
Eigenvalues |
2+ 0 2 2 -2 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,676,-175760] |
[a1,a2,a3,a4,a6] |
Generators |
[2358993:37645595:9261] |
Generators of the group modulo torsion |
j |
432/169 |
j-invariant |
L |
5.2494241362266 |
L(r)(E,1)/r! |
Ω |
0.33162579840763 |
Real period |
R |
7.9146799818241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10816ba2 676a2 97344cd2 832d2 |
Quadratic twists by: -4 8 -3 13 |