Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720bu |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
3810240 = 26 · 35 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79380,8634762] |
[a1,a2,a3,a4,a6] |
j |
864335783029582144/59535 |
j-invariant |
L |
2.7438228113532 |
L(r)(E,1)/r! |
Ω |
1.3719114056766 |
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 |
6720ci1 3360k3 20160ej1 33600gf1 |
Quadratic twists by: -4 8 -3 5 |