Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19890z |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
130901062500 = 22 · 36 · 56 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49883,-4275673] |
[a1,a2,a3,a4,a6] |
Generators |
[119049:1479304:343] |
Generators of the group modulo torsion |
j |
18829800329506921/179562500 |
j-invariant |
L |
7.9192505012903 |
L(r)(E,1)/r! |
Ω |
0.31945695096619 |
Real period |
R |
6.1974316706356 |
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 |
2210b1 99450s1 |
Quadratic twists by: -3 5 |