Atkin-Lehner |
3- 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25389d |
Isogeny class |
Conductor |
25389 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
387128669841459 = 37 · 7 · 138 · 31 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36603,2532870] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:2292:1] |
Generators of the group modulo torsion |
j |
7439656832283313/531040699371 |
j-invariant |
L |
4.464180935061 |
L(r)(E,1)/r! |
Ω |
0.52376767078777 |
Real period |
R |
4.2616041272141 |
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 |
8463g3 |
Quadratic twists by: -3 |