Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
19080n |
Isogeny class |
Conductor |
19080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
4005884160 = 28 · 310 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-687,6226] |
[a1,a2,a3,a4,a6] |
Generators |
[5:54:1] |
Generators of the group modulo torsion |
j |
192143824/21465 |
j-invariant |
L |
6.2743741413932 |
L(r)(E,1)/r! |
Ω |
1.3469110492967 |
Real period |
R |
1.1645858397014 |
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 |
38160m1 6360e1 95400e1 |
Quadratic twists by: -4 -3 5 |