Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720w |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-17001089925120 = -1 · 216 · 32 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,639,198495] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:441:1] |
Generators of the group modulo torsion |
j |
439608956/259416045 |
j-invariant |
L |
4.5736757005992 |
L(r)(E,1)/r! |
Ω |
0.54022287637308 |
Real period |
R |
1.0582844369961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6720bh4 840g4 20160cn4 33600m3 |
Quadratic twists by: -4 8 -3 5 |