Atkin-Lehner |
2+ 3+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13566g |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
65829699377568 = 25 · 33 · 7 · 174 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34429,-2442083] |
[a1,a2,a3,a4,a6] |
j |
4513533266433569113/65829699377568 |
j-invariant |
L |
1.4031703838965 |
L(r)(E,1)/r! |
Ω |
0.35079259597413 |
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 |
108528bf3 40698br3 94962n3 |
Quadratic twists by: -4 -3 -7 |