Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1680o |
Isogeny class |
Conductor |
1680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-564480 = -1 · 28 · 32 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20,-20] |
[a1,a2,a3,a4,a6] |
j |
3286064/2205 |
j-invariant |
L |
1.6548405863968 |
L(r)(E,1)/r! |
Ω |
1.6548405863968 |
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 |
420d2 6720bz2 5040bh2 8400cb2 |
Quadratic twists by: -4 8 -3 5 |