Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382cq |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
5575680 |
Modular degree for the optimal curve |
Δ |
-2.1295048108173E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 2 11- -3 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-139492211,634161093459] |
[a1,a2,a3,a4,a6] |
Generators |
[6971:18402:1] |
Generators of the group modulo torsion |
j |
-1920899191546985353/13627293696 |
j-invariant |
L |
11.944455568356 |
L(r)(E,1)/r! |
Ω |
0.13119195428584 |
Real period |
R |
1.0346095565031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794k1 41382w1 |
Quadratic twists by: -3 -11 |