Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920fu |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-42856914186240000 = -1 · 215 · 3 · 54 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64545,-11770143] |
[a1,a2,a3,a4,a6] |
j |
-907545319055432/1307889226875 |
j-invariant |
L |
2.277762654995 |
L(r)(E,1)/r! |
Ω |
0.14236016484587 |
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 |
73920hr3 36960v2 |
Quadratic twists by: -4 8 |