Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
33880b |
Isogeny class |
Conductor |
33880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1043504000000 = 210 · 56 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3443,-60258] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:28:1] [-33:132:1] |
Generators of the group modulo torsion |
j |
3311744076/765625 |
j-invariant |
L |
8.1593283734412 |
L(r)(E,1)/r! |
Ω |
0.63363123339329 |
Real period |
R |
3.2192732710418 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67760a2 33880k2 |
Quadratic twists by: -4 -11 |