Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450v |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-220066875000000 = -1 · 26 · 37 · 510 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22617,-1485459] |
[a1,a2,a3,a4,a6] |
j |
-179726425/30912 |
j-invariant |
L |
1.5427267121661 |
L(r)(E,1)/r! |
Ω |
0.19284084113422 |
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 |
24150cf1 72450ez1 |
Quadratic twists by: -3 5 |