Atkin-Lehner |
2- 3- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
53808t |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-9087956828928 = -1 · 28 · 35 · 195 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 1 4 1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5429,-213345] |
[a1,a2,a3,a4,a6] |
j |
-69139027197952/35499831363 |
j-invariant |
L |
2.7151096968657 |
L(r)(E,1)/r! |
Ω |
0.27151096977189 |
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 |
13452b1 |
Quadratic twists by: -4 |