Atkin-Lehner |
2- 3- 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75582w |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-725707579577017284 = -1 · 22 · 36 · 134 · 176 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -6 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-86369,42156213] |
[a1,a2,a3,a4,a6] |
Generators |
[6711:545894:1] |
Generators of the group modulo torsion |
j |
-97738381604456137/995483648253796 |
j-invariant |
L |
11.532427569618 |
L(r)(E,1)/r! |
Ω |
0.24316214476131 |
Real period |
R |
5.9283629336426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002318 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8398b2 |
Quadratic twists by: -3 |