Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462c |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
25698816 = 29 · 33 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 11+ 13+ 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1650,-25388] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:101:8] |
Generators of the group modulo torsion |
j |
108911345283/5632 |
j-invariant |
L |
4.2429215644296 |
L(r)(E,1)/r! |
Ω |
0.74906167768252 |
Real period |
R |
2.8321576786282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33462bx1 33462by1 |
Quadratic twists by: -3 13 |