Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1470k |
Isogeny class |
Conductor |
1470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
42371287350 = 2 · 3 · 52 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-94119201,351412332249] |
[a1,a2,a3,a4,a6] |
Generators |
[545176866:-269749887:97336] |
Generators of the group modulo torsion |
j |
783736670177727068275201/360150 |
j-invariant |
L |
3.2367076222742 |
L(r)(E,1)/r! |
Ω |
0.32573195565014 |
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 |
11760ch7 47040dm8 4410r7 7350bc7 |
Quadratic twists by: -4 8 -3 5 |