Atkin-Lehner |
2- 3- 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75582bp |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
11421761978016 = 25 · 36 · 13 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21119,1175303] |
[a1,a2,a3,a4,a6] |
Generators |
[129:700:1] |
Generators of the group modulo torsion |
j |
1428883941140137/15667711904 |
j-invariant |
L |
11.706258222908 |
L(r)(E,1)/r! |
Ω |
0.71982142925914 |
Real period |
R |
1.6262725378954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8398c2 |
Quadratic twists by: -3 |