Atkin-Lehner |
2- 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450eh |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1042098573019218750 = 2 · 37 · 57 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19055255,32020960497] |
[a1,a2,a3,a4,a6] |
j |
67176973097223766561/91487391870 |
j-invariant |
L |
3.7564058682764 |
L(r)(E,1)/r! |
Ω |
0.23477536729696 |
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 |
24150o6 14490l5 |
Quadratic twists by: -3 5 |