Atkin-Lehner |
2+ 5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
105040a |
Isogeny class |
Conductor |
105040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-33612800 = -1 · 210 · 52 · 13 · 101 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 0 13+ 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-216,-1184] |
[a1,a2,a3,a4,a6] |
Generators |
[46:290:1] |
Generators of the group modulo torsion |
j |
-1093437796/32825 |
j-invariant |
L |
6.2004039731092 |
L(r)(E,1)/r! |
Ω |
0.62132796568306 |
Real period |
R |
2.494819287561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52520a1 |
Quadratic twists by: -4 |