Atkin-Lehner |
2+ 3+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33672a |
Isogeny class |
Conductor |
33672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1956583483392 = 211 · 3 · 23 · 614 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4184,-78132] |
[a1,a2,a3,a4,a6] |
j |
3956148472754/955363029 |
j-invariant |
L |
1.2080516037208 |
L(r)(E,1)/r! |
Ω |
0.60402580185552 |
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 |
67344d4 101016k4 |
Quadratic twists by: -4 -3 |