Atkin-Lehner |
2- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
80080bx |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
938898985024000000 = 212 · 56 · 72 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-651187,-196812366] |
[a1,a2,a3,a4,a6] |
Generators |
[-457:2310:1] |
Generators of the group modulo torsion |
j |
7455571334873897481/229223385015625 |
j-invariant |
L |
6.2167002418497 |
L(r)(E,1)/r! |
Ω |
0.16837993519663 |
Real period |
R |
1.0255742021597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007538 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5005b2 |
Quadratic twists by: -4 |