Atkin-Lehner |
2+ 3+ 5+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
28470a |
Isogeny class |
Conductor |
28470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
472320 |
Modular degree for the optimal curve |
Δ |
-207831000000000000 = -1 · 212 · 3 · 512 · 13 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-329003,75737853] |
[a1,a2,a3,a4,a6] |
j |
-3938450113783958762809/207831000000000000 |
j-invariant |
L |
0.62547235740301 |
L(r)(E,1)/r! |
Ω |
0.31273617870152 |
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 |
85410bf1 |
Quadratic twists by: -3 |