Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525bv |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1608525597521390625 = 34 · 56 · 72 · 1110 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-859163,300315192] |
[a1,a2,a3,a4,a6] |
j |
2533811507137/58110129 |
j-invariant |
L |
2.1324636584604 |
L(r)(E,1)/r! |
Ω |
0.26655795701546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2541b3 5775n3 |
Quadratic twists by: 5 -11 |