Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376m |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
80021760 |
Modular degree for the optimal curve |
Δ |
-1.4861576985888E+29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -1 -4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,812949331,16261354147611] |
[a1,a2,a3,a4,a6] |
j |
2516343223039433113088/6293911435659608571 |
j-invariant |
L |
1.1827382835885 |
L(r)(E,1)/r! |
Ω |
0.022744964762651 |
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 |
89376c1 89376k1 |
Quadratic twists by: -4 -7 |