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 |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
105632100000000 = 28 · 38 · 58 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-171005,-27171003] |
[a1,a2,a3,a4,a6] |
j |
48551226272641/9273600 |
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 |
24150o1 14490l1 |
Quadratic twists by: -3 5 |