Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
420c |
Isogeny class |
Conductor |
420 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-45722880 = -1 · 28 · 36 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36,324] |
[a1,a2,a3,a4,a6] |
j |
-20720464/178605 |
j-invariant |
L |
1.7281211109508 |
L(r)(E,1)/r! |
Ω |
1.7281211109508 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
1680l2 6720o2 1260j2 2100b2 |
Quadratic twists by: -4 8 -3 5 |