Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192cb |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.6750430044333E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4030419,-1872755822] |
[a1,a2,a3,a4,a6] |
Generators |
[-1351:33264:1] |
Generators of the group modulo torsion |
j |
2424860886440964817/895866489717732 |
j-invariant |
L |
8.4528790801382 |
L(r)(E,1)/r! |
Ω |
0.10986699925253 |
Real period |
R |
4.8085862561363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999992429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14274l3 38064bg4 |
Quadratic twists by: -4 -3 |