Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872cy |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-410322468864 = -1 · 221 · 3 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1496,-20812] |
[a1,a2,a3,a4,a6] |
Generators |
[46:384:1] |
Generators of the group modulo torsion |
j |
1843623047/2044416 |
j-invariant |
L |
8.1506802553125 |
L(r)(E,1)/r! |
Ω |
0.51049313202231 |
Real period |
R |
1.3305239816227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3234d2 103488fr2 77616fp2 25872bf2 |
Quadratic twists by: -4 8 -3 -7 |