Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1470k |
Isogeny class |
Conductor |
1470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5.8647315728745E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5845701,5560992849] |
[a1,a2,a3,a4,a6] |
Generators |
[76884:1020837:64] |
Generators of the group modulo torsion |
j |
-187778242790732059201/4984939585440150 |
j-invariant |
L |
3.2367076222742 |
L(r)(E,1)/r! |
Ω |
0.16286597782507 |
Real period |
R |
9.9367211786574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11760ch8 47040dm7 4410r8 7350bc8 |
Quadratic twists by: -4 8 -3 5 |