Atkin-Lehner |
2+ 3+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
19422c |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15491050787628 = 22 · 39 · 134 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 0 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8466,234584] |
[a1,a2,a3,a4,a6] |
j |
3409542177651/787026916 |
j-invariant |
L |
2.6314645495539 |
L(r)(E,1)/r! |
Ω |
0.65786613738847 |
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 |
19422i2 |
Quadratic twists by: -3 |