Atkin-Lehner |
5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
6355d |
Isogeny class |
Conductor |
6355 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
193939208984375 = 516 · 31 · 41 |
Discriminant |
Eigenvalues |
-1 0 5- 0 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14917,210566] |
[a1,a2,a3,a4,a6] |
Generators |
[146:989:1] |
Generators of the group modulo torsion |
j |
367063233970148001/193939208984375 |
j-invariant |
L |
2.6171319392588 |
L(r)(E,1)/r! |
Ω |
0.4965900320675 |
Real period |
R |
1.3175515869513 |
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 |
101680ba3 57195d3 31775a3 |
Quadratic twists by: -4 -3 5 |