Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720cn |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
14631321600 = 214 · 36 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-785,-6417] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:48:1] |
Generators of the group modulo torsion |
j |
3269383504/893025 |
j-invariant |
L |
5.2569808464139 |
L(r)(E,1)/r! |
Ω |
0.92035555073155 |
Real period |
R |
0.95198369120053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6720j2 1680c2 20160eg2 33600es2 |
Quadratic twists by: -4 8 -3 5 |