Atkin-Lehner |
2+ 3+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33672a |
Isogeny class |
Conductor |
33672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18140857344 = 210 · 32 · 232 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1424,20124] |
[a1,a2,a3,a4,a6] |
j |
312074777668/17715681 |
j-invariant |
L |
1.2080516037208 |
L(r)(E,1)/r! |
Ω |
1.208051603711 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67344d2 101016k2 |
Quadratic twists by: -4 -3 |