Atkin-Lehner |
3+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
3333c |
Isogeny class |
Conductor |
3333 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
3333 = 3 · 11 · 101 |
Discriminant |
Eigenvalues |
0 3+ 4 3 11- 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-21,-31] |
[a1,a2,a3,a4,a6] |
j |
1073741824/3333 |
j-invariant |
L |
2.2218560574556 |
L(r)(E,1)/r! |
Ω |
2.2218560574556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53328u1 9999i1 83325r1 36663e1 |
Quadratic twists by: -4 -3 5 -11 |