Atkin-Lehner |
3- 7+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
49959f |
Isogeny class |
Conductor |
49959 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
2111164574337 = 38 · 74 · 133 · 61 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24687,-1485176] |
[a1,a2,a3,a4,a6] |
Generators |
[696:17488:1] |
Generators of the group modulo torsion |
j |
2282501283504625/2895973353 |
j-invariant |
L |
6.8828783525259 |
L(r)(E,1)/r! |
Ω |
0.38090330296195 |
Real period |
R |
3.0116472688977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16653c1 |
Quadratic twists by: -3 |