Atkin-Lehner |
2- 3- 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518bl |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
486 |
Product of Tamagawa factors cp |
Δ |
-3.9329962207712E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6056195,5816836739] |
[a1,a2,a3,a4,a6] |
Generators |
[-2697:51622:1] |
Generators of the group modulo torsion |
j |
-33697343696782696827625/539505654426772992 |
j-invariant |
L |
10.690046860433 |
L(r)(E,1)/r! |
Ω |
0.16915266706941 |
Real period |
R |
1.1703263877329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046576 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
37506o2 |
Quadratic twists by: -3 |