Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560bo |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1018031939808000 = -1 · 28 · 3 · 53 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37405,3192097] |
[a1,a2,a3,a4,a6] |
Generators |
[9:1690:1] |
Generators of the group modulo torsion |
j |
-4684079104/823875 |
j-invariant |
L |
5.6234927161353 |
L(r)(E,1)/r! |
Ω |
0.47428626113535 |
Real period |
R |
0.98806234000881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10140k2 121680dh2 3120p2 |
Quadratic twists by: -4 -3 13 |