Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525n |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
1945453125 = 3 · 56 · 73 · 112 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11- -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8433,300893] |
[a1,a2,a3,a4,a6] |
Generators |
[53:3:1] |
Generators of the group modulo torsion |
j |
35084566528/1029 |
j-invariant |
L |
3.6566142992766 |
L(r)(E,1)/r! |
Ω |
1.3752653163137 |
Real period |
R |
0.88628093693627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2541j2 63525d2 |
Quadratic twists by: 5 -11 |