Atkin-Lehner |
2+ 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240d |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
24272640000 = 211 · 32 · 54 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-809096,-279853104] |
[a1,a2,a3,a4,a6] |
j |
28601872012767077138/11851875 |
j-invariant |
L |
2.5469444981198 |
L(r)(E,1)/r! |
Ω |
0.15918403038854 |
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 |
36120l4 |
Quadratic twists by: -4 |