Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715bq |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2972019976961089005 = 322 · 5 · 77 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1953639,-1047262532] |
[a1,a2,a3,a4,a6] |
Generators |
[-101707050:-171400123:125000] |
Generators of the group modulo torsion |
j |
9614816895690721/34652610405 |
j-invariant |
L |
7.0866242644011 |
L(r)(E,1)/r! |
Ω |
0.12772696542016 |
Real period |
R |
13.870650259797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16905c3 7245i3 |
Quadratic twists by: -3 -7 |