Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720bm |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
210691031040 = 217 · 38 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41921,3317601] |
[a1,a2,a3,a4,a6] |
Generators |
[123:84:1] |
Generators of the group modulo torsion |
j |
62161150998242/1607445 |
j-invariant |
L |
3.214614531786 |
L(r)(E,1)/r! |
Ω |
0.92772402103826 |
Real period |
R |
1.7325273782328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6720q5 1680j5 20160fg5 33600gg6 |
Quadratic twists by: -4 8 -3 5 |