Atkin-Lehner |
2- 3- 5- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010bt |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-9.859562255124E+18 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -1 -1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-111092,-151716009] |
[a1,a2,a3,a4,a6] |
Generators |
[621:3989:1] |
Generators of the group modulo torsion |
j |
-207989243483826169/13524776756000000 |
j-invariant |
L |
11.140323506453 |
L(r)(E,1)/r! |
Ω |
0.10100715692858 |
Real period |
R |
0.45955173907015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9890b1 |
Quadratic twists by: -3 |