Atkin-Lehner |
2+ 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
72720b |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-159038640 = -1 · 24 · 39 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 1 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-162,999] |
[a1,a2,a3,a4,a6] |
j |
-1492992/505 |
j-invariant |
L |
3.4349311693747 |
L(r)(E,1)/r! |
Ω |
1.7174655910297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36360a1 72720a1 |
Quadratic twists by: -4 -3 |