Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640bp |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-17063424000000 = -1 · 215 · 32 · 56 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1904,195520] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:368:1] |
Generators of the group modulo torsion |
j |
186267240431/4165875000 |
j-invariant |
L |
4.319907081864 |
L(r)(E,1)/r! |
Ω |
0.51914328214166 |
Real period |
R |
1.0401528899795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bb2 115920fh2 |
Quadratic twists by: -4 -3 |