Atkin-Lehner |
2- 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
53300j |
Isogeny class |
Conductor |
53300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
211680 |
Modular degree for the optimal curve |
Δ |
2185300000000 = 28 · 58 · 13 · 412 |
Discriminant |
Eigenvalues |
2- 1 5- -2 4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-169333,-26876537] |
[a1,a2,a3,a4,a6] |
j |
5369713131520/21853 |
j-invariant |
L |
1.4120994921631 |
L(r)(E,1)/r! |
Ω |
0.23534991529413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53300f1 |
Quadratic twists by: 5 |