Atkin-Lehner |
2- 3+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650bl |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1.79873164188E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 7 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-77413138,-262186543969] |
[a1,a2,a3,a4,a6] |
Generators |
[-5089:5145:1] |
Generators of the group modulo torsion |
j |
5253729228029721157225/184190120128512 |
j-invariant |
L |
8.9054110091949 |
L(r)(E,1)/r! |
Ω |
0.05089754091466 |
Real period |
R |
1.215051471957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58650y2 |
Quadratic twists by: 5 |