Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bl |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12490596679680 = 218 · 34 · 5 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6773825,6788027457] |
[a1,a2,a3,a4,a6] |
Generators |
[42609:137332:27] |
Generators of the group modulo torsion |
j |
1114544804970241/405 |
j-invariant |
L |
5.8660863299671 |
L(r)(E,1)/r! |
Ω |
0.42661367867999 |
Real period |
R |
6.8751737498652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040hg8 735e7 960g7 |
Quadratic twists by: -4 8 -7 |