Atkin-Lehner |
2- 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
128772d |
Isogeny class |
Conductor |
128772 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-2120500787215104 = -1 · 28 · 39 · 78 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 0 6 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,31752,-407484] |
[a1,a2,a3,a4,a6] |
j |
5971968/3577 |
j-invariant |
L |
3.2442295774329 |
L(r)(E,1)/r! |
Ω |
0.27035245114118 |
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 |
128772c1 18396c1 |
Quadratic twists by: -3 -7 |