Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
420c |
Isogeny class |
Conductor |
420 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-33882912000 = -1 · 28 · 32 · 53 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,324,-8460] |
[a1,a2,a3,a4,a6] |
j |
14647977776/132355125 |
j-invariant |
L |
1.7281211109508 |
L(r)(E,1)/r! |
Ω |
0.57604037031694 |
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 |
1680l4 6720o4 1260j4 2100b4 |
Quadratic twists by: -4 8 -3 5 |