Atkin-Lehner |
2+ 3- 7+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882k |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2093142234243312 = 24 · 38 · 7 · 192 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35397,-1304667] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:792:1] |
Generators of the group modulo torsion |
j |
6728255154636625/2871251350128 |
j-invariant |
L |
4.2566500604161 |
L(r)(E,1)/r! |
Ω |
0.36169833256084 |
Real period |
R |
0.73553180917881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42294u2 |
Quadratic twists by: -3 |