Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20640r |
Isogeny class |
Conductor |
20640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
129000000 = 26 · 3 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-130,-128] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:20:1] |
Generators of the group modulo torsion |
j |
3825694144/2015625 |
j-invariant |
L |
3.9620711813398 |
L(r)(E,1)/r! |
Ω |
1.4988400385291 |
Real period |
R |
0.88114165610094 |
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 |
20640l1 41280bi2 61920n1 103200bc1 |
Quadratic twists by: -4 8 -3 5 |