Atkin-Lehner |
2+ 3- 5+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410a |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
429829716996000000 = 28 · 310 · 56 · 192 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1026945,-399060675] |
[a1,a2,a3,a4,a6] |
j |
164300156056687579921/589615524000000 |
j-invariant |
L |
0.60002141536344 |
L(r)(E,1)/r! |
Ω |
0.15000525156769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40470bm2 |
Quadratic twists by: -3 |