Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090dk |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
5.8403734254256E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1029445,162487625] |
[a1,a2,a3,a4,a6] |
Generators |
[-1060:8465:1] |
Generators of the group modulo torsion |
j |
815016062816929/394524156600 |
j-invariant |
L |
12.94305716743 |
L(r)(E,1)/r! |
Ω |
0.17603193130288 |
Real period |
R |
2.0424099316683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830be2 |
Quadratic twists by: -23 |