Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720bv |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1486356480 = 219 · 34 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23905,-1414655] |
[a1,a2,a3,a4,a6] |
j |
5763259856089/5670 |
j-invariant |
L |
1.5358042698605 |
L(r)(E,1)/r! |
Ω |
0.38395106746512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6720y3 1680r3 20160ee3 33600gh4 |
Quadratic twists by: -4 8 -3 5 |