Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6840u |
Isogeny class |
Conductor |
6840 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-82083463776000 = -1 · 28 · 39 · 53 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5793,401506] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:270:1] |
Generators of the group modulo torsion |
j |
115203799856/439833375 |
j-invariant |
L |
4.5462401841545 |
L(r)(E,1)/r! |
Ω |
0.43294430936434 |
Real period |
R |
0.87506254380797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13680t1 54720o1 2280c1 34200ba1 |
Quadratic twists by: -4 8 -3 5 |