Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6216o |
Isogeny class |
Conductor |
6216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7359744 = 28 · 3 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124,-476] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:4:1] |
Generators of the group modulo torsion |
j |
830321872/28749 |
j-invariant |
L |
3.1140859499326 |
L(r)(E,1)/r! |
Ω |
1.4327662112847 |
Real period |
R |
1.0867390385834 |
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 |
12432h2 49728cl2 18648k2 43512bf2 |
Quadratic twists by: -4 8 -3 -7 |