Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
6216j |
Isogeny class |
Conductor |
6216 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-7820826714102528 = -1 · 28 · 35 · 72 · 376 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 0 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,46620,1774224] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1332:1] |
Generators of the group modulo torsion |
j |
43771480755468464/30550104351963 |
j-invariant |
L |
3.5640797778166 |
L(r)(E,1)/r! |
Ω |
0.26320236487629 |
Real period |
R |
0.45137382909303 |
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 |
12432g2 49728g2 18648bc2 43512f2 |
Quadratic twists by: -4 8 -3 -7 |