Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6216c |
Isogeny class |
Conductor |
6216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-30088025856 = -1 · 28 · 33 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124,8404] |
[a1,a2,a3,a4,a6] |
Generators |
[14:96:1] |
Generators of the group modulo torsion |
j |
-830321872/117531351 |
j-invariant |
L |
2.732960071388 |
L(r)(E,1)/r! |
Ω |
0.96288286342609 |
Real period |
R |
2.8383100117326 |
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 |
12432q1 49728bv1 18648x1 43512j1 |
Quadratic twists by: -4 8 -3 -7 |