Atkin-Lehner |
2+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
57038f |
Isogeny class |
Conductor |
57038 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
2316205266842280304 = 24 · 196 · 795 |
Discriminant |
Eigenvalues |
2+ 1 1 3 2 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8440188,9436931850] |
[a1,a2,a3,a4,a6] |
Generators |
[-3219:58647:1] |
Generators of the group modulo torsion |
j |
1413378216646643521/49232902384 |
j-invariant |
L |
6.6306087111539 |
L(r)(E,1)/r! |
Ω |
0.24208626745763 |
Real period |
R |
1.369472291977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
158c2 |
Quadratic twists by: -19 |