Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109820i |
Isogeny class |
Conductor |
109820 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
157281606482450000 = 24 · 55 · 176 · 194 |
Discriminant |
Eigenvalues |
2- -2 5- -2 0 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-266265,49232488] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:9025:1] |
Generators of the group modulo torsion |
j |
5405726654464/407253125 |
j-invariant |
L |
5.0412331929059 |
L(r)(E,1)/r! |
Ω |
0.31708657547467 |
Real period |
R |
1.0599067866103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999872584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
380b1 |
Quadratic twists by: 17 |