Atkin-Lehner |
3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25389p |
Isogeny class |
Conductor |
25389 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-4092214926515376843 = -1 · 312 · 76 · 133 · 313 |
Discriminant |
Eigenvalues |
0 3- 0 7- -3 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,118050,96067674] |
[a1,a2,a3,a4,a6] |
Generators |
[-2942:13667:8] |
Generators of the group modulo torsion |
j |
249571022336000000/5613463548032067 |
j-invariant |
L |
4.4361272055562 |
L(r)(E,1)/r! |
Ω |
0.18493230342632 |
Real period |
R |
1.9989869821578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8463l2 |
Quadratic twists by: -3 |