Atkin-Lehner |
2- 3- 7+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89838r |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
3.0610626140368E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18140105,13261729609] |
[a1,a2,a3,a4,a6] |
Generators |
[-2287:207982:1] |
Generators of the group modulo torsion |
j |
905556497427272537015625/419898849662109966848 |
j-invariant |
L |
10.356830437416 |
L(r)(E,1)/r! |
Ω |
0.086701676905681 |
Real period |
R |
3.3181565180603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9982b2 |
Quadratic twists by: -3 |