Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928ck |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
281308681019326464 = 218 · 312 · 74 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7366476,-7695474320] |
[a1,a2,a3,a4,a6] |
j |
231331938231569617/1472026689 |
j-invariant |
L |
2.9324774235215 |
L(r)(E,1)/r! |
Ω |
0.091639935728645 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116928dw2 1827b2 38976x2 |
Quadratic twists by: -4 8 -3 |