Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314p |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.7512475374437E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-70976142,-230111392428] |
[a1,a2,a3,a4,a6] |
Generators |
[-38898:58527:8] |
Generators of the group modulo torsion |
j |
30618029936661765625/3678951124992 |
j-invariant |
L |
4.7615529895822 |
L(r)(E,1)/r! |
Ω |
0.052014519195314 |
Real period |
R |
5.7214229113877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438z4 2574x4 |
Quadratic twists by: -3 -11 |