Atkin-Lehner |
2+ 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470k |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
332065151964000000 = 28 · 33 · 56 · 72 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9008154,-10404142540] |
[a1,a2,a3,a4,a6] |
j |
620307836233921107/2548000000 |
j-invariant |
L |
2.0914719070907 |
L(r)(E,1)/r! |
Ω |
0.087144645775777 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470de2 8190bc2 |
Quadratic twists by: -3 13 |