Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128cg |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-943968651931648 = -1 · 212 · 77 · 234 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 4 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68665,-7104441] |
[a1,a2,a3,a4,a6] |
j |
-74299881664/1958887 |
j-invariant |
L |
1.1778754069212 |
L(r)(E,1)/r! |
Ω |
0.14723442396964 |
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 |
72128bk1 36064b1 10304bk1 |
Quadratic twists by: -4 8 -7 |