Atkin-Lehner |
3+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8835a |
Isogeny class |
Conductor |
8835 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
832 |
Modular degree for the optimal curve |
Δ |
167865 = 3 · 5 · 192 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16,8] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] |
Generators of the group modulo torsion |
j |
454756609/167865 |
j-invariant |
L |
2.492251640874 |
L(r)(E,1)/r! |
Ω |
2.9464447220503 |
Real period |
R |
1.6917009317859 |
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 |
26505g1 44175g1 |
Quadratic twists by: -3 5 |