Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530bo |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
1240233120 = 25 · 36 · 5 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 -1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1118,-14003] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:19:1] |
Generators of the group modulo torsion |
j |
211815318681/1701280 |
j-invariant |
L |
6.941692587875 |
L(r)(E,1)/r! |
Ω |
0.82609467203536 |
Real period |
R |
1.6806046141835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2170d1 97650bk1 |
Quadratic twists by: -3 5 |