Atkin-Lehner |
2- 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240cn |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2298240 |
Modular degree for the optimal curve |
Δ |
-2.8012028362752E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1688216,-1167287916] |
[a1,a2,a3,a4,a6] |
j |
-129911637598070951449/68388741120000000 |
j-invariant |
L |
3.2313071373371 |
L(r)(E,1)/r! |
Ω |
0.064626142750816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9030a1 |
Quadratic twists by: -4 |