Atkin-Lehner |
2- 3- 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23370x |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
68988240000 = 27 · 33 · 54 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-367937280000,-85903124179517568] |
[a1,a2,a3,a4,a6] |
j |
5508648894449866775535215811523768320001/68988240000 |
j-invariant |
L |
4.1193185669627 |
L(r)(E,1)/r! |
Ω |
0.0061299383436946 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70110l6 116850k6 |
Quadratic twists by: -3 5 |