Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312bv |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4141289331964882944 = 212 · 32 · 78 · 117 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-451249,-63604609] |
[a1,a2,a3,a4,a6] |
Generators |
[-367:7260:1] |
Generators of the group modulo torsion |
j |
1400416996672/570715299 |
j-invariant |
L |
7.0247199098739 |
L(r)(E,1)/r! |
Ω |
0.19088311288948 |
Real period |
R |
2.3000724769841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002027 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81312d3 7392e2 |
Quadratic twists by: -4 -11 |