Atkin-Lehner |
2- 3+ 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
32214u |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
299625179690962944 = 212 · 36 · 72 · 132 · 594 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-200029,22100531] |
[a1,a2,a3,a4,a6] |
j |
885121192527634245457/299625179690962944 |
j-invariant |
L |
1.6954980602338 |
L(r)(E,1)/r! |
Ω |
0.28258301003939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
96642s2 |
Quadratic twists by: -3 |