Atkin-Lehner |
3+ 5- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
55845b |
Isogeny class |
Conductor |
55845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
102528 |
Modular degree for the optimal curve |
Δ |
-4412055166875 = -1 · 39 · 54 · 173 · 73 |
Discriminant |
Eigenvalues |
0 3+ 5- -3 0 0 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14472,-677680] |
[a1,a2,a3,a4,a6] |
j |
-17030134628352/224155625 |
j-invariant |
L |
1.7397516293158 |
L(r)(E,1)/r! |
Ω |
0.21746895331967 |
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 |
55845a1 |
Quadratic twists by: -3 |