Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720bx |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-3497472000000 = -1 · 215 · 33 · 56 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,600,-90000] |
[a1,a2,a3,a4,a6] |
Generators |
[50:250:1] |
Generators of the group modulo torsion |
j |
5822285399/853875000 |
j-invariant |
L |
5.8627513854742 |
L(r)(E,1)/r! |
Ω |
0.37393403519809 |
Real period |
R |
1.3065475979135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590m1 |
Quadratic twists by: -4 |