Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432bk |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-4478837212459008 = -1 · 212 · 35 · 74 · 374 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1624,3220528] |
[a1,a2,a3,a4,a6] |
j |
-115714886617/1093466116323 |
j-invariant |
L |
1.3952396560559 |
L(r)(E,1)/r! |
Ω |
0.34880991401397 |
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 |
777e4 49728eq3 37296cm3 87024eg3 |
Quadratic twists by: -4 8 -3 -7 |