Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462d |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
90427548465086976 = 29 · 39 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 11+ 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2509935,1531089197] |
[a1,a2,a3,a4,a6] |
Generators |
[1021:5146:1] |
Generators of the group modulo torsion |
j |
108911345283/5632 |
j-invariant |
L |
2.7604574652186 |
L(r)(E,1)/r! |
Ω |
0.32028288601017 |
Real period |
R |
4.3094051942749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33462by1 33462bx1 |
Quadratic twists by: -3 13 |