Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040hj |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-1.7060933761656E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 -5 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9376705,12710246975] |
[a1,a2,a3,a4,a6] |
Generators |
[-1585:153600:1] |
Generators of the group modulo torsion |
j |
-1231272543361/230400000 |
j-invariant |
L |
7.3534779614973 |
L(r)(E,1)/r! |
Ω |
0.11838132422277 |
Real period |
R |
1.5529218839576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47040bt1 11760bs1 47040dy1 |
Quadratic twists by: -4 8 -7 |