Atkin-Lehner |
2+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10816g |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
173056 = 210 · 132 |
Discriminant |
Eigenvalues |
2+ -1 2 1 1 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17,25] |
[a1,a2,a3,a4,a6] |
Generators |
[0:5:1] |
Generators of the group modulo torsion |
j |
3328 |
j-invariant |
L |
4.5313150212893 |
L(r)(E,1)/r! |
Ω |
2.9816096422294 |
Real period |
R |
1.5197546174761 |
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 |
10816bd1 1352b1 97344bz1 10816h1 |
Quadratic twists by: -4 8 -3 13 |