Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16720m |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-111271600 = -1 · 24 · 52 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,118,119] |
[a1,a2,a3,a4,a6] |
Generators |
[5781:84700:27] |
Generators of the group modulo torsion |
j |
11356637184/6954475 |
j-invariant |
L |
5.0683697056018 |
L(r)(E,1)/r! |
Ω |
1.1557523812761 |
Real period |
R |
4.3853422131871 |
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 |
8360h1 66880ch1 83600h1 |
Quadratic twists by: -4 8 5 |