Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1470k |
Isogeny class |
Conductor |
1470 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6051657497760000 = 28 · 38 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52431,-2731947] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:1442:1] |
Generators of the group modulo torsion |
j |
135487869158881/51438240000 |
j-invariant |
L |
3.2367076222742 |
L(r)(E,1)/r! |
Ω |
0.32573195565014 |
Real period |
R |
1.2420901473322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11760ch2 47040dm2 4410r2 7350bc2 |
Quadratic twists by: -4 8 -3 5 |