Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
6216g |
Isogeny class |
Conductor |
6216 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
508016257894656 = 28 · 32 · 76 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-626092,-190468460] |
[a1,a2,a3,a4,a6] |
Generators |
[3245:178710:1] |
Generators of the group modulo torsion |
j |
106022710798663038928/1984438507401 |
j-invariant |
L |
3.9579852760511 |
L(r)(E,1)/r! |
Ω |
0.16972290084412 |
Real period |
R |
3.8867130445822 |
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 |
12432l2 49728cg2 18648bg2 43512o2 |
Quadratic twists by: -4 8 -3 -7 |