Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520y |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
27597024000000 = 211 · 36 · 56 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7563,14362] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:500:1] |
Generators of the group modulo torsion |
j |
32044133522/18484375 |
j-invariant |
L |
4.6587799086356 |
L(r)(E,1)/r! |
Ω |
0.56667858824298 |
Real period |
R |
1.02765041891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760be2 7280j2 |
Quadratic twists by: -4 -3 |