Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
72720h |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
14873058000 = 24 · 36 · 53 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-678,3427] |
[a1,a2,a3,a4,a6] |
j |
2955053056/1275125 |
j-invariant |
L |
1.1244559320202 |
L(r)(E,1)/r! |
Ω |
1.1244559487288 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36360o1 8080d1 |
Quadratic twists by: -4 -3 |