Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720f |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-167246540439552000 = -1 · 220 · 312 · 53 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,123039,10504161] |
[a1,a2,a3,a4,a6] |
j |
785793873833639/637994920500 |
j-invariant |
L |
0.83202643925174 |
L(r)(E,1)/r! |
Ω |
0.20800660981293 |
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 |
6720bw5 210b5 20160cg5 33600cd4 |
Quadratic twists by: -4 8 -3 5 |