Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720ce |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-338829120 = -1 · 26 · 32 · 5 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-336,-2646] |
[a1,a2,a3,a4,a6] |
j |
-65743598656/5294205 |
j-invariant |
L |
1.664559818486 |
L(r)(E,1)/r! |
Ω |
0.55485327282867 |
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 |
6720bk1 3360r2 20160fl1 33600eu1 |
Quadratic twists by: -4 8 -3 5 |