Atkin-Lehner |
2+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
57038i |
Isogeny class |
Conductor |
57038 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
587226686642 = 2 · 196 · 792 |
Discriminant |
Eigenvalues |
2+ -2 -2 0 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3257,-61566] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:60:1] |
Generators of the group modulo torsion |
j |
81182737/12482 |
j-invariant |
L |
1.0601770064979 |
L(r)(E,1)/r! |
Ω |
0.63852330133955 |
Real period |
R |
1.6603575849882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
158e2 |
Quadratic twists by: -19 |