Atkin-Lehner |
2+ 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32850o |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-2835933930000000 = -1 · 27 · 36 · 57 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21708,2241616] |
[a1,a2,a3,a4,a6] |
j |
99317171591/248970880 |
j-invariant |
L |
2.5310635751663 |
L(r)(E,1)/r! |
Ω |
0.31638294689596 |
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 |
3650j1 6570bd1 |
Quadratic twists by: -3 5 |