Atkin-Lehner |
2- 3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
72540r |
Isogeny class |
Conductor |
72540 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-76384620000000 = -1 · 28 · 36 · 57 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1128,-420748] |
[a1,a2,a3,a4,a6] |
j |
-850518016/409296875 |
j-invariant |
L |
2.1984539548434 |
L(r)(E,1)/r! |
Ω |
0.27480674610964 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8060b1 |
Quadratic twists by: -3 |