Atkin-Lehner |
3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5565g |
Isogeny class |
Conductor |
5565 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
110604375 = 32 · 54 · 7 · 532 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -6 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23330,-1373523] |
[a1,a2,a3,a4,a6] |
j |
1404329736140140321/110604375 |
j-invariant |
L |
1.5451860063889 |
L(r)(E,1)/r! |
Ω |
0.38629650159722 |
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 |
89040bo2 16695m2 27825a2 38955c2 |
Quadratic twists by: -4 -3 5 -7 |