Atkin-Lehner |
13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54587b |
Isogeny class |
Conductor |
54587 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-344552106847 = -1 · 137 · 172 · 19 |
Discriminant |
Eigenvalues |
-1 2 0 -2 2 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-88,-28280] |
[a1,a2,a3,a4,a6] |
j |
-15625/71383 |
j-invariant |
L |
0.87163437945261 |
L(r)(E,1)/r! |
Ω |
0.43581718912804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4199a1 |
Quadratic twists by: 13 |