Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040dc |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
186526243749888000 = 226 · 33 · 53 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1560225,-750349377] |
[a1,a2,a3,a4,a6] |
j |
13619385906841/6048000 |
j-invariant |
L |
4.8631402984205 |
L(r)(E,1)/r! |
Ω |
0.13508723052116 |
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 |
47040ey1 1470b1 6720f1 |
Quadratic twists by: -4 8 -7 |