Atkin-Lehner |
2+ 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432c |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4418516861031168 = -1 · 28 · 37 · 78 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17948,-3323376] |
[a1,a2,a3,a4,a6] |
j |
-2497791173218000/17259831488403 |
j-invariant |
L |
0.36627249998722 |
L(r)(E,1)/r! |
Ω |
0.18313624999361 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6216t2 49728dy2 37296n2 87024bh2 |
Quadratic twists by: -4 8 -3 -7 |