Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
32340v |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
2761111584000 = 28 · 33 · 53 · 74 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108061,-13708465] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:15:1] |
Generators of the group modulo torsion |
j |
227040091070464/4492125 |
j-invariant |
L |
6.0757244934535 |
L(r)(E,1)/r! |
Ω |
0.26331917745261 |
Real period |
R |
2.5637346501057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360do2 97020ce2 32340m2 |
Quadratic twists by: -4 -3 -7 |