Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432bk |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
16224526209024 = 212 · 310 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21064,1167664] |
[a1,a2,a3,a4,a6] |
j |
252352098250057/3961065969 |
j-invariant |
L |
1.3952396560559 |
L(r)(E,1)/r! |
Ω |
0.69761982802794 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
777e2 49728eq2 37296cm2 87024eg2 |
Quadratic twists by: -4 8 -3 -7 |