Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650be |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
78721256250000 = 24 · 32 · 58 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11376,188398] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:791:1] |
Generators of the group modulo torsion |
j |
10418796526321/5038160400 |
j-invariant |
L |
4.1700578217117 |
L(r)(E,1)/r! |
Ω |
0.54306118938791 |
Real period |
R |
1.9196997977391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109200cy2 40950ef2 2730w2 95550br2 |
Quadratic twists by: -4 -3 5 -7 |