Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720q |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-34002179850240 = -1 · 217 · 32 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4479,-254241] |
[a1,a2,a3,a4,a6] |
j |
75798394558/259416045 |
j-invariant |
L |
2.6692020130664 |
L(r)(E,1)/r! |
Ω |
0.33365025163329 |
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 |
6720bm6 840f6 20160cd6 33600x5 |
Quadratic twists by: -4 8 -3 5 |