Atkin-Lehner |
2+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10816d |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-2056143405056 = -1 · 215 · 137 |
Discriminant |
Eigenvalues |
2+ 1 1 3 -2 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,68927] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1352:1] |
Generators of the group modulo torsion |
j |
-8/13 |
j-invariant |
L |
5.8925628885415 |
L(r)(E,1)/r! |
Ω |
0.66585929316835 |
Real period |
R |
1.1061952106471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10816e1 5408b1 97344bl1 832a1 |
Quadratic twists by: -4 8 -3 13 |