Atkin-Lehner |
3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48825f |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
291977314453125 = 39 · 510 · 72 · 31 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 5 4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-16875,-189844] |
[a1,a2,a3,a4,a6] |
j |
2764800/1519 |
j-invariant |
L |
1.7914414807928 |
L(r)(E,1)/r! |
Ω |
0.44786037013173 |
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 |
48825e1 48825i1 |
Quadratic twists by: -3 5 |