Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360cm |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
21609232367627520 = 28 · 34 · 5 · 76 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 0 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84100,6144620] |
[a1,a2,a3,a4,a6] |
j |
2184181167184/717482205 |
j-invariant |
L |
2.8203808867917 |
L(r)(E,1)/r! |
Ω |
0.35254754508667 |
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 |
64680m2 2640a2 |
Quadratic twists by: -4 -7 |