Atkin-Lehner |
2+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32560a |
Isogeny class |
Conductor |
32560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2650384000000 = 210 · 56 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11+ 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4123,65178] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:396:1] |
Generators of the group modulo torsion |
j |
7569440157636/2588265625 |
j-invariant |
L |
3.2410792236868 |
L(r)(E,1)/r! |
Ω |
0.74462908775373 |
Real period |
R |
2.1763044695606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16280b2 |
Quadratic twists by: -4 |