Atkin-Lehner |
3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22785f |
Isogeny class |
Conductor |
22785 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
142006839912433125 = 33 · 54 · 710 · 313 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 3 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-180875,-23347969] |
[a1,a2,a3,a4,a6] |
Generators |
[-315:1507:1] |
Generators of the group modulo torsion |
j |
2316761595904/502723125 |
j-invariant |
L |
4.4594695310177 |
L(r)(E,1)/r! |
Ω |
0.23507166588219 |
Real period |
R |
4.7426701919624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68355j1 113925bu1 22785i1 |
Quadratic twists by: -3 5 -7 |