Atkin-Lehner |
2- 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68880be |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-562625753760000 = -1 · 28 · 36 · 54 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76956,-8270244] |
[a1,a2,a3,a4,a6] |
j |
-196886912277198544/2197756850625 |
j-invariant |
L |
0.28645053001188 |
L(r)(E,1)/r! |
Ω |
0.14322526396083 |
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 |
17220k2 |
Quadratic twists by: -4 |