Atkin-Lehner |
2+ 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
5922d |
Isogeny class |
Conductor |
5922 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-3838177441728 = -1 · 26 · 312 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31743,-2170931] |
[a1,a2,a3,a4,a6] |
j |
-4852301599161073/5264989632 |
j-invariant |
L |
0.71530072012831 |
L(r)(E,1)/r! |
Ω |
0.17882518003208 |
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 |
47376by1 1974d1 41454bb1 |
Quadratic twists by: -4 -3 -7 |