Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43512z |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-24056369576725248 = -1 · 28 · 35 · 710 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,33892,7054020] |
[a1,a2,a3,a4,a6] |
Generators |
[124:-3626:1] [-72:2058:1] |
Generators of the group modulo torsion |
j |
142946750000/798733467 |
j-invariant |
L |
7.8801105492866 |
L(r)(E,1)/r! |
Ω |
0.27349206163564 |
Real period |
R |
3.6016175854241 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024bi2 6216u2 |
Quadratic twists by: -4 -7 |