Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6216p |
Isogeny class |
Conductor |
6216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12180575232 = 210 · 38 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 4 -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-600,-1764] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:56:1] |
Generators of the group modulo torsion |
j |
23366901604/11895093 |
j-invariant |
L |
2.5670100654922 |
L(r)(E,1)/r! |
Ω |
1.0181551887744 |
Real period |
R |
1.2606182700803 |
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 |
12432i2 49728cp2 18648m2 43512bi2 |
Quadratic twists by: -4 8 -3 -7 |