Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24420j |
Isogeny class |
Conductor |
24420 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
19340640000 = 28 · 33 · 54 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5236,-147436] |
[a1,a2,a3,a4,a6] |
Generators |
[922:7125:8] |
Generators of the group modulo torsion |
j |
62024832733264/75549375 |
j-invariant |
L |
6.9086091454351 |
L(r)(E,1)/r! |
Ω |
0.56127344777543 |
Real period |
R |
4.1029372122845 |
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 |
97680y2 73260z2 122100g2 |
Quadratic twists by: -4 -3 5 |