Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520bw |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
62347345920 = 216 · 38 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1452,17584] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:108:1] |
Generators of the group modulo torsion |
j |
7086244/1305 |
j-invariant |
L |
7.5585685653035 |
L(r)(E,1)/r! |
Ω |
1.0524700827021 |
Real period |
R |
1.7954354918929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fn1 10440f1 27840bo1 |
Quadratic twists by: -4 8 -3 |