Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312bx |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
39600425829888 = 29 · 34 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11- -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11656,-381988] |
[a1,a2,a3,a4,a6] |
Generators |
[1354:12705:8] |
Generators of the group modulo torsion |
j |
193100552/43659 |
j-invariant |
L |
11.199696813957 |
L(r)(E,1)/r! |
Ω |
0.46691740713276 |
Real period |
R |
2.998307795359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81312i2 7392d2 |
Quadratic twists by: -4 -11 |