Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680cd |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-267764367360 = -1 · 227 · 3 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9121,-339265] |
[a1,a2,a3,a4,a6] |
Generators |
[6164937:103459328:19683] |
Generators of the group modulo torsion |
j |
-320153881321/1021440 |
j-invariant |
L |
8.6575831881431 |
L(r)(E,1)/r! |
Ω |
0.24421481622709 |
Real period |
R |
8.8626719717099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999546461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680dp1 3990f1 |
Quadratic twists by: -4 8 |