Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1470d |
Isogeny class |
Conductor |
1470 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
689349609375000 = 23 · 3 · 512 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22222,164284] |
[a1,a2,a3,a4,a6] |
Generators |
[3:311:1] |
Generators of the group modulo torsion |
j |
10316097499609/5859375000 |
j-invariant |
L |
1.8988268001151 |
L(r)(E,1)/r! |
Ω |
0.43783106389087 |
Real period |
R |
0.72281562331401 |
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 |
11760cp8 47040cg8 4410bb8 7350cj7 |
Quadratic twists by: -4 8 -3 5 |