Atkin-Lehner |
5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8405a |
Isogeny class |
Conductor |
8405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
4868856847025 = 52 · 417 |
Discriminant |
Eigenvalues |
-1 -2 5+ -2 -6 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35336,-2557409] |
[a1,a2,a3,a4,a6] |
Generators |
[263:2390:1] |
Generators of the group modulo torsion |
j |
1027243729/1025 |
j-invariant |
L |
0.88857716468088 |
L(r)(E,1)/r! |
Ω |
0.34823399188929 |
Real period |
R |
1.2758334702768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75645q1 42025b1 205b1 |
Quadratic twists by: -3 5 41 |