Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100bn |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2161306249200 = -1 · 24 · 38 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,735,-70315] |
[a1,a2,a3,a4,a6] |
j |
1280/63 |
j-invariant |
L |
3.1549056483019 |
L(r)(E,1)/r! |
Ω |
0.39436320603412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700b1 44100dc1 6300e1 |
Quadratic twists by: -3 5 -7 |