Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19890z |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1337330566406250 = 2 · 36 · 512 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51053,-4063669] |
[a1,a2,a3,a4,a6] |
Generators |
[5562215820:-74518562539:16003008] |
Generators of the group modulo torsion |
j |
20186080966364041/1834472656250 |
j-invariant |
L |
7.9192505012903 |
L(r)(E,1)/r! |
Ω |
0.31945695096619 |
Real period |
R |
12.394863341271 |
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 |
2210b2 99450s2 |
Quadratic twists by: -3 5 |