Atkin-Lehner |
2+ 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072k |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-132977032860672 = -1 · 210 · 310 · 7 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10221,-386818] |
[a1,a2,a3,a4,a6] |
Generators |
[10276:148635:64] |
Generators of the group modulo torsion |
j |
158189040572/178134957 |
j-invariant |
L |
7.544561245706 |
L(r)(E,1)/r! |
Ω |
0.31498440168006 |
Real period |
R |
5.9880435397779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024t3 |
Quadratic twists by: -3 |