Atkin-Lehner |
3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3465f |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1403325 = 36 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-92400,-10787689] |
[a1,a2,a3,a4,a6] |
j |
119678115308998401/1925 |
j-invariant |
L |
1.0953207948003 |
L(r)(E,1)/r! |
Ω |
0.27383019870008 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440dt4 385a4 17325z3 24255bn4 |
Quadratic twists by: -4 -3 5 -7 |