Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dd |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
139089000960000 = 212 · 38 · 54 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21243,-1047958] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:378:1] |
Generators of the group modulo torsion |
j |
355045312441/46580625 |
j-invariant |
L |
6.6337366165158 |
L(r)(E,1)/r! |
Ω |
0.39887783037058 |
Real period |
R |
2.0788748180775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000213 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4095h2 21840bp2 |
Quadratic twists by: -4 -3 |