Atkin-Lehner |
2- 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450eg |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
18338906250000 = 24 · 36 · 510 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8255,204247] |
[a1,a2,a3,a4,a6] |
j |
5461074081/1610000 |
j-invariant |
L |
5.1201883598397 |
L(r)(E,1)/r! |
Ω |
0.64002354740004 |
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 |
8050l1 14490k1 |
Quadratic twists by: -3 5 |