Atkin-Lehner |
2- 3- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488bn |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
472697085356181504 = 211 · 311 · 74 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1797771,-927200090] |
[a1,a2,a3,a4,a6] |
Generators |
[-6078:2695:8] |
Generators of the group modulo torsion |
j |
430397106556055186/316610594937 |
j-invariant |
L |
3.6452388052041 |
L(r)(E,1)/r! |
Ω |
0.13038725418193 |
Real period |
R |
6.9892545121146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999636535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496o4 |
Quadratic twists by: -3 |