Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117216ba |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-6323334336 = -1 · 26 · 38 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-201,3980] |
[a1,a2,a3,a4,a6] |
Generators |
[7:54:1] |
Generators of the group modulo torsion |
j |
-19248832/135531 |
j-invariant |
L |
5.4878921992887 |
L(r)(E,1)/r! |
Ω |
1.1514386613716 |
Real period |
R |
1.1915294219858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052377 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117216q1 39072b1 |
Quadratic twists by: -4 -3 |