Atkin-Lehner |
2- 3- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54990bm |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
76968403200 = 28 · 39 · 52 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77378,8303937] |
[a1,a2,a3,a4,a6] |
j |
70281888516417241/105580800 |
j-invariant |
L |
3.7022901096017 |
L(r)(E,1)/r! |
Ω |
0.92557252760626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18330f1 |
Quadratic twists by: -3 |