Atkin-Lehner |
2- 3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
30222i |
Isogeny class |
Conductor |
30222 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
27363542796 = 22 · 311 · 232 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 4 6 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3405884,-2418465837] |
[a1,a2,a3,a4,a6] |
j |
5993570544832950015097/37535724 |
j-invariant |
L |
8.0015587438125 |
L(r)(E,1)/r! |
Ω |
0.11113276033075 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10074e2 |
Quadratic twists by: -3 |