Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648bx |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-4196201228379389952 = -1 · 215 · 312 · 194 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1251219,-547642798] |
[a1,a2,a3,a4,a6] |
j |
-72549801357968017/1405299301128 |
j-invariant |
L |
2.2813269911604 |
L(r)(E,1)/r! |
Ω |
0.071291468886262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14706i2 39216u2 |
Quadratic twists by: -4 -3 |