Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720g |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2890137600 = 218 · 32 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481,-2975] |
[a1,a2,a3,a4,a6] |
j |
47045881/11025 |
j-invariant |
L |
2.0730438491334 |
L(r)(E,1)/r! |
Ω |
1.0365219245667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6720bx2 105a2 20160ch2 33600ce2 |
Quadratic twists by: -4 8 -3 5 |