Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376r |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
11431680 |
Modular degree for the optimal curve |
Δ |
-1.2632132007826E+24 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 1 4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16590803,47413935995] |
[a1,a2,a3,a4,a6] |
Generators |
[50585:11416140:1] |
Generators of the group modulo torsion |
j |
2516343223039433113088/6293911435659608571 |
j-invariant |
L |
10.567521675861 |
L(r)(E,1)/r! |
Ω |
0.060177520340902 |
Real period |
R |
3.3770346386812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89376k1 89376c1 |
Quadratic twists by: -4 -7 |