Atkin-Lehner |
2+ 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560bx |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-3457909440 = -1 · 26 · 311 · 5 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 0 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-495,-5265] |
[a1,a2,a3,a4,a6] |
j |
-210008272384/54029835 |
j-invariant |
L |
5.4918344753829 |
L(r)(E,1)/r! |
Ω |
0.49925767953249 |
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 |
58560v1 29280d1 |
Quadratic twists by: -4 8 |