Atkin-Lehner |
3- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
46725o |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-253489053234375 = -1 · 312 · 56 · 73 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9824,668873] |
[a1,a2,a3,a4,a6] |
j |
6711696261647/16223299407 |
j-invariant |
L |
2.3173297964135 |
L(r)(E,1)/r! |
Ω |
0.38622163273489 |
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 |
1869b1 |
Quadratic twists by: 5 |