Atkin-Lehner |
2+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3458c |
Isogeny class |
Conductor |
3458 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-13720355796772352 = -1 · 29 · 7 · 139 · 192 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 3 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-459791,-120172478] |
[a1,a2,a3,a4,a6] |
j |
-10749883374191785083625/13720355796772352 |
j-invariant |
L |
1.649942576193 |
L(r)(E,1)/r! |
Ω |
0.091663476455166 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27664k3 110656o3 31122bd3 86450bb3 |
Quadratic twists by: -4 8 -3 5 |