Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
49368u |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
341503337472 = 210 · 3 · 113 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8488,302524] |
[a1,a2,a3,a4,a6] |
Generators |
[30:272:1] |
Generators of the group modulo torsion |
j |
49626423500/250563 |
j-invariant |
L |
3.2532494816234 |
L(r)(E,1)/r! |
Ω |
0.96547446315092 |
Real period |
R |
0.84239656401887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736y1 49368b1 |
Quadratic twists by: -4 -11 |