Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520cb |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
29573120 = 214 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 1 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101,-259] |
[a1,a2,a3,a4,a6] |
Generators |
[-204:107:27] |
Generators of the group modulo torsion |
j |
19456/5 |
j-invariant |
L |
6.8429914366222 |
L(r)(E,1)/r! |
Ω |
1.5333055193266 |
Real period |
R |
4.4629014707808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999696968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520o1 28880l1 115520br1 |
Quadratic twists by: -4 8 -19 |