Atkin-Lehner |
2+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
48160b |
Isogeny class |
Conductor |
48160 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-5781608000000 = -1 · 29 · 56 · 75 · 43 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 3 6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-523,115778] |
[a1,a2,a3,a4,a6] |
j |
-30900024072/11292203125 |
j-invariant |
L |
6.1621668221514 |
L(r)(E,1)/r! |
Ω |
0.61621668226431 |
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 |
48160i1 96320be1 |
Quadratic twists by: -4 8 |