Atkin-Lehner |
2+ 5- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54520b |
Isogeny class |
Conductor |
54520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
202378240 = 210 · 5 · 292 · 47 |
Discriminant |
Eigenvalues |
2+ 3 5- -3 3 -3 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-307,-1954] |
[a1,a2,a3,a4,a6] |
j |
3124919844/197635 |
j-invariant |
L |
4.5802925651271 |
L(r)(E,1)/r! |
Ω |
1.1450731414468 |
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 |
109040c1 |
Quadratic twists by: -4 |