Atkin-Lehner |
2- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
41300m |
Isogeny class |
Conductor |
41300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-238086281300000000 = -1 · 28 · 58 · 79 · 59 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 0 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1457708,-678306412] |
[a1,a2,a3,a4,a6] |
Generators |
[156430470:11625333643:27000] |
Generators of the group modulo torsion |
j |
-3425591889730000/2380862813 |
j-invariant |
L |
7.2267890790833 |
L(r)(E,1)/r! |
Ω |
0.068696371291623 |
Real period |
R |
11.688776994265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41300c2 |
Quadratic twists by: 5 |