Atkin-Lehner |
2- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
16450r |
Isogeny class |
Conductor |
16450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
629726562500 = 22 · 510 · 73 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8813,-316883] |
[a1,a2,a3,a4,a6] |
j |
4844824797961/40302500 |
j-invariant |
L |
2.957927476255 |
L(r)(E,1)/r! |
Ω |
0.49298791270916 |
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 |
3290d1 115150bz1 |
Quadratic twists by: 5 -7 |