Atkin-Lehner |
2+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13888c |
Isogeny class |
Conductor |
13888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-28442624 = -1 · 217 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ -4 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,257] |
[a1,a2,a3,a4,a6] |
Generators |
[1:16:1] |
Generators of the group modulo torsion |
j |
-2/217 |
j-invariant |
L |
2.7212653735686 |
L(r)(E,1)/r! |
Ω |
1.6743745454143 |
Real period |
R |
0.40631072973211 |
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 |
13888u1 1736a1 124992bf1 97216u1 |
Quadratic twists by: -4 8 -3 -7 |