Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
32340y |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
6087629856000 = 28 · 3 · 53 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1834821,-957230121] |
[a1,a2,a3,a4,a6] |
j |
462893166690304/4125 |
j-invariant |
L |
3.5023929805692 |
L(r)(E,1)/r! |
Ω |
0.12971825853952 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360dm2 97020cd2 32340u2 |
Quadratic twists by: -4 -3 -7 |