Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462p |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
401544 = 23 · 33 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 11- 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-246,1548] |
[a1,a2,a3,a4,a6] |
Generators |
[78:-21:8] [7:8:1] |
Generators of the group modulo torsion |
j |
361635651/88 |
j-invariant |
L |
5.3204739718776 |
L(r)(E,1)/r! |
Ω |
2.9212609979003 |
Real period |
R |
0.91064680213481 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33462bu2 33462bt1 |
Quadratic twists by: -3 13 |