Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240br |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-22734207713280 = -1 · 221 · 3 · 5 · 75 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12496,588736] |
[a1,a2,a3,a4,a6] |
Generators |
[120:896:1] |
Generators of the group modulo torsion |
j |
-52687982361169/5550343680 |
j-invariant |
L |
4.5556958757922 |
L(r)(E,1)/r! |
Ω |
0.65953151725039 |
Real period |
R |
0.34537362932223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9030u1 |
Quadratic twists by: -4 |