Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560de |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-1344094295702896640 = -1 · 234 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 0 -4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,161055,-49977983] |
[a1,a2,a3,a4,a6] |
j |
1762396940073671/5127312834560 |
j-invariant |
L |
1.9456389492462 |
L(r)(E,1)/r! |
Ω |
0.13897421066227 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560bd1 10640r1 |
Quadratic twists by: -4 8 |