Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640z |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1.52719921875E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -4 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,555820,99749100] |
[a1,a2,a3,a4,a6] |
Generators |
[690:28500:1] |
Generators of the group modulo torsion |
j |
569208099614384/457763671875 |
j-invariant |
L |
7.7805534706731 |
L(r)(E,1)/r! |
Ω |
0.14263407914591 |
Real period |
R |
0.56821926773126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320g1 86640p1 |
Quadratic twists by: -4 -19 |