Atkin-Lehner |
2+ 3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950u |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
279956250000 = 24 · 34 · 58 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7501,-249352] |
[a1,a2,a3,a4,a6] |
j |
2986606123201/17917200 |
j-invariant |
L |
2.0527856574425 |
L(r)(E,1)/r! |
Ω |
0.51319642347265 |
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 |
16590q1 |
Quadratic twists by: 5 |