Atkin-Lehner |
2+ 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
3318f |
Isogeny class |
Conductor |
3318 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1070532722322 = 2 · 36 · 76 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8341,288230] |
[a1,a2,a3,a4,a6] |
j |
64165742871063625/1070532722322 |
j-invariant |
L |
1.74916211548 |
L(r)(E,1)/r! |
Ω |
0.87458105774002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
26544h2 106176k2 9954k2 82950bq2 |
Quadratic twists by: -4 8 -3 5 |