Atkin-Lehner |
2- 3+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
83304o |
Isogeny class |
Conductor |
83304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-63977472 = -1 · 211 · 33 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -2 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-315,-2186] |
[a1,a2,a3,a4,a6] |
Generators |
[1002:5210:27] |
Generators of the group modulo torsion |
j |
-62511750/1157 |
j-invariant |
L |
6.854982385087 |
L(r)(E,1)/r! |
Ω |
0.56599837541578 |
Real period |
R |
6.0556555320136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83304b1 |
Quadratic twists by: -3 |