Atkin-Lehner |
2- 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
3408h |
Isogeny class |
Conductor |
3408 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
17839816704 = 217 · 33 · 712 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 2 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73704,-7726284] |
[a1,a2,a3,a4,a6] |
j |
10810426566289897/4355424 |
j-invariant |
L |
1.738511468635 |
L(r)(E,1)/r! |
Ω |
0.28975191143916 |
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 |
426b2 13632p2 10224n2 85200cc2 |
Quadratic twists by: -4 8 -3 5 |