Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6216b |
Isogeny class |
Conductor |
6216 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-701761536 = -1 · 211 · 33 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -2 0 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,-1332] |
[a1,a2,a3,a4,a6] |
Generators |
[173:2264:1] |
Generators of the group modulo torsion |
j |
-94091762/342657 |
j-invariant |
L |
3.4318696469948 |
L(r)(E,1)/r! |
Ω |
0.66052643342141 |
Real period |
R |
5.1956583012407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12432p1 49728bu1 18648w1 43512i1 |
Quadratic twists by: -4 8 -3 -7 |