Atkin-Lehner |
2+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
35728m |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
77440 |
Modular degree for the optimal curve |
Δ |
10092275696272 = 24 · 711 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 11+ -1 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19024,-992005] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:49:1] |
Generators of the group modulo torsion |
j |
47591793317892352/630767231017 |
j-invariant |
L |
3.8406708502913 |
L(r)(E,1)/r! |
Ω |
0.40683704195549 |
Real period |
R |
0.85821068259373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17864l1 |
Quadratic twists by: -4 |