Atkin-Lehner |
3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
56265s |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
488625984 |
Modular degree for the optimal curve |
Δ |
-1.8313785815485E+33 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 11+ 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-154591057606,-23485566254930444] |
[a1,a2,a3,a4,a6] |
Generators |
[17212286299044928:5098008331953414437:34741712447] |
Generators of the group modulo torsion |
j |
-173277690423403330052409135104/776683294773101806640625 |
j-invariant |
L |
3.5009764153707 |
L(r)(E,1)/r! |
Ω |
0.0038058967181449 |
Real period |
R |
21.901955699676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56265r1 |
Quadratic twists by: -11 |