Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485bc |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
82800 |
Modular degree for the optimal curve |
Δ |
548428978125 = 36 · 55 · 72 · 173 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 6 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-33348,2343703] |
[a1,a2,a3,a4,a6] |
j |
114817869021184/15353125 |
j-invariant |
L |
2.6698547211412 |
L(r)(E,1)/r! |
Ω |
0.88995157370151 |
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 |
4165i1 37485bi1 |
Quadratic twists by: -3 -7 |