Atkin-Lehner |
2- 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
28116j |
Isogeny class |
Conductor |
28116 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
800134699136256 = 28 · 38 · 113 · 713 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 11- -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35616,2200228] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:1917:1] |
Generators of the group modulo torsion |
j |
26772667629568/4287415869 |
j-invariant |
L |
6.8435531603563 |
L(r)(E,1)/r! |
Ω |
0.48114822318859 |
Real period |
R |
1.1852815186908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
112464x2 9372e2 |
Quadratic twists by: -4 -3 |