Atkin-Lehner |
2+ 3- 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270l |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
32254708308514560 = 28 · 322 · 5 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49337550,-133374966444] |
[a1,a2,a3,a4,a6] |
j |
18219184228131936192280801/44245141712640 |
j-invariant |
L |
1.822867635697 |
L(r)(E,1)/r! |
Ω |
0.056964614073392 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24090l4 |
Quadratic twists by: -3 |