Atkin-Lehner |
2- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
32320o |
Isogeny class |
Conductor |
32320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-835665920 = -1 · 214 · 5 · 1012 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28,-1392] |
[a1,a2,a3,a4,a6] |
Generators |
[13:21:1] |
Generators of the group modulo torsion |
j |
-148176/51005 |
j-invariant |
L |
2.1637885107483 |
L(r)(E,1)/r! |
Ω |
0.71016560852073 |
Real period |
R |
3.0468787629064 |
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 |
32320d2 8080f2 |
Quadratic twists by: -4 8 |