Atkin-Lehner |
3- 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25389d |
Isogeny class |
Conductor |
25389 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8823947483169 = 38 · 72 · 134 · 312 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7308,-191565] |
[a1,a2,a3,a4,a6] |
Generators |
[-474:1641:8] |
Generators of the group modulo torsion |
j |
59214112880833/12104180361 |
j-invariant |
L |
4.464180935061 |
L(r)(E,1)/r! |
Ω |
0.52376767078777 |
Real period |
R |
2.1308020636071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8463g2 |
Quadratic twists by: -3 |