Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
420b |
Isogeny class |
Conductor |
420 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3703553280 = -1 · 28 · 310 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-540,5832] |
[a1,a2,a3,a4,a6] |
j |
-68150496976/14467005 |
j-invariant |
L |
1.3397581666493 |
L(r)(E,1)/r! |
Ω |
1.3397581666493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1680s2 6720t2 1260f2 2100k2 |
Quadratic twists by: -4 8 -3 5 |