Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072q |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
51931858987008 = 211 · 311 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-652755,202989134] |
[a1,a2,a3,a4,a6] |
j |
20602354367353250/34783749 |
j-invariant |
L |
2.1598978433526 |
L(r)(E,1)/r! |
Ω |
0.53997446190531 |
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 |
24024w2 |
Quadratic twists by: -3 |