Atkin-Lehner |
2- 7+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
55384h |
Isogeny class |
Conductor |
55384 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
99648 |
Modular degree for the optimal curve |
Δ |
-13868096886784 = -1 · 211 · 7 · 233 · 433 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 5 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5339,-233770] |
[a1,a2,a3,a4,a6] |
j |
-8218139753826/6771531683 |
j-invariant |
L |
2.4283202386397 |
L(r)(E,1)/r! |
Ω |
0.26981335977098 |
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 |
110768f1 |
Quadratic twists by: -4 |