Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59040s |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-125485977600 = -1 · 212 · 36 · 52 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,708,15424] |
[a1,a2,a3,a4,a6] |
Generators |
[48:400:1] |
Generators of the group modulo torsion |
j |
13144256/42025 |
j-invariant |
L |
8.1509264300308 |
L(r)(E,1)/r! |
Ω |
0.73769360231874 |
Real period |
R |
2.7623007724477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999654 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59040x2 118080ed1 6560m2 |
Quadratic twists by: -4 8 -3 |