Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600n |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
5262796800 = 211 · 37 · 52 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-435,110] |
[a1,a2,a3,a4,a6] |
Generators |
[2:9:8] |
Generators of the group modulo torsion |
j |
243890/141 |
j-invariant |
L |
7.6688252231724 |
L(r)(E,1)/r! |
Ω |
1.15313769361 |
Real period |
R |
3.3251992674684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28200q1 84600bx1 |
Quadratic twists by: -3 5 |