Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640cb |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1114598554030080 = -1 · 212 · 34 · 5 · 74 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25920,-25920] |
[a1,a2,a3,a4,a6] |
Generators |
[122:2222:1] |
Generators of the group modulo torsion |
j |
470166844956479/272118787605 |
j-invariant |
L |
5.5815743905002 |
L(r)(E,1)/r! |
Ω |
0.29182979383852 |
Real period |
R |
4.7815323420924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2415h4 115920dh3 |
Quadratic twists by: -4 -3 |