Atkin-Lehner |
2+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4606a |
Isogeny class |
Conductor |
4606 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-49655775232 = -1 · 216 · 73 · 472 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 0 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-275,10933] |
[a1,a2,a3,a4,a6] |
j |
-6719171103/144769024 |
j-invariant |
L |
1.894715637593 |
L(r)(E,1)/r! |
Ω |
0.94735781879651 |
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 |
36848r1 41454ca1 115150ce1 4606e1 |
Quadratic twists by: -4 -3 5 -7 |