Atkin-Lehner |
2- 3+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
5478m |
Isogeny class |
Conductor |
5478 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
4732992 = 26 · 34 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1538,-23857] |
[a1,a2,a3,a4,a6] |
j |
402355893390625/4732992 |
j-invariant |
L |
2.2870758147139 |
L(r)(E,1)/r! |
Ω |
0.76235860490465 |
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 |
43824x1 16434b1 60258c1 |
Quadratic twists by: -4 -3 -11 |