Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33120m |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-71081349120 = -1 · 212 · 38 · 5 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-13952] |
[a1,a2,a3,a4,a6] |
Generators |
[78:644:1] |
Generators of the group modulo torsion |
j |
-7529536/23805 |
j-invariant |
L |
6.3566219624173 |
L(r)(E,1)/r! |
Ω |
0.4470769111155 |
Real period |
R |
1.7772730497748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33120j2 66240gb1 11040n2 |
Quadratic twists by: -4 8 -3 |