Atkin-Lehner |
2+ 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
25440w |
Isogeny class |
Conductor |
25440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-3256320 = -1 · 212 · 3 · 5 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 2 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1805,28923] |
[a1,a2,a3,a4,a6] |
j |
-158867831296/795 |
j-invariant |
L |
4.4559372090402 |
L(r)(E,1)/r! |
Ω |
2.22796860452 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25440k1 50880ce1 76320bj1 127200cb1 |
Quadratic twists by: -4 8 -3 5 |