Atkin-Lehner |
3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525i |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
109864462640625 = 34 · 56 · 72 · 116 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12163,105656] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:822:1] [-370:6231:8] |
Generators of the group modulo torsion |
j |
7189057/3969 |
j-invariant |
L |
5.2919527873418 |
L(r)(E,1)/r! |
Ω |
0.51535561894062 |
Real period |
R |
2.5671364553198 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2541l2 525b2 |
Quadratic twists by: 5 -11 |