Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32200u |
Isogeny class |
Conductor |
32200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18032000000 = 210 · 56 · 72 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12208,515088] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:700:1] |
Generators of the group modulo torsion |
j |
12576878500/1127 |
j-invariant |
L |
3.6763343752575 |
L(r)(E,1)/r! |
Ω |
1.1730488401845 |
Real period |
R |
1.5669997059454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64400l2 1288b2 |
Quadratic twists by: -4 5 |