Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360bn |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
527340936276000000 = 28 · 33 · 56 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5962140,5605275600] |
[a1,a2,a3,a4,a6] |
j |
2268861410888368/51046875 |
j-invariant |
L |
3.2494136775845 |
L(r)(E,1)/r! |
Ω |
0.27078445296886 |
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 |
64680de2 129360cc2 |
Quadratic twists by: -4 -7 |