Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042cs |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3060288 |
Modular degree for the optimal curve |
Δ |
4.1053334501087E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11+ 13+ 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6798996,-6088160688] |
[a1,a2,a3,a4,a6] |
Generators |
[-46932:614308:27] |
Generators of the group modulo torsion |
j |
6029395229781068929/712137929845056 |
j-invariant |
L |
10.610535405292 |
L(r)(E,1)/r! |
Ω |
0.094216304209733 |
Real period |
R |
6.2566048851889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126bj1 42042ce1 |
Quadratic twists by: -3 -7 |