Atkin-Lehner |
2- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89782bk |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
44185544578868 = 22 · 76 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 2 4 7- 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-135946,-19346909] |
[a1,a2,a3,a4,a6] |
Generators |
[-285505:197107:1331] |
Generators of the group modulo torsion |
j |
156843708284089/24941588 |
j-invariant |
L |
20.17117293835 |
L(r)(E,1)/r! |
Ω |
0.24863489130803 |
Real period |
R |
6.7606403502838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
742b2 |
Quadratic twists by: -11 |