Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
18126s |
Isogeny class |
Conductor |
18126 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
6213320751071232 = 214 · 39 · 193 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -2 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55076,3233607] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:2781:1] |
Generators of the group modulo torsion |
j |
25344046984866553/8523073732608 |
j-invariant |
L |
6.702145856714 |
L(r)(E,1)/r! |
Ω |
0.39049820463704 |
Real period |
R |
0.40864439184465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6042b1 |
Quadratic twists by: -3 |