Atkin-Lehner |
2- 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85848q |
Isogeny class |
Conductor |
85848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-2437587513648 = -1 · 24 · 35 · 76 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2777,48784] |
[a1,a2,a3,a4,a6] |
j |
1257728000/1294947 |
j-invariant |
L |
2.154279516395 |
L(r)(E,1)/r! |
Ω |
0.53856989129434 |
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 |
1752h1 |
Quadratic twists by: -7 |