Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224fd |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-355837460868288 = -1 · 26 · 39 · 710 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 5 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72030,-7495922] |
[a1,a2,a3,a4,a6] |
j |
-3136000/27 |
j-invariant |
L |
2.6214439396618 |
L(r)(E,1)/r! |
Ω |
0.14563577442566 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224fe1 14112bw1 9408cr1 28224ej1 |
Quadratic twists by: -4 8 -3 -7 |