Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304v |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-38986899416285184 = -1 · 217 · 34 · 710 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79903,-3857055] |
[a1,a2,a3,a4,a6] |
j |
3658553134/2528253 |
j-invariant |
L |
1.646555788054 |
L(r)(E,1)/r! |
Ω |
0.20581965321843 |
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 |
122304hg3 15288n4 17472bk4 |
Quadratic twists by: -4 8 -7 |