Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
21528n |
Isogeny class |
Conductor |
21528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
30801917952 = 211 · 37 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- -4 0 4 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14907,-700490] |
[a1,a2,a3,a4,a6] |
j |
245378770418/20631 |
j-invariant |
L |
1.7282802781865 |
L(r)(E,1)/r! |
Ω |
0.43207006954663 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43056p2 7176h2 |
Quadratic twists by: -4 -3 |