Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382cd |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-214524288 = -1 · 27 · 36 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 11- -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,43,685] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-40:1] [-5:20:1] |
Generators of the group modulo torsion |
j |
101871/2432 |
j-invariant |
L |
10.460535580553 |
L(r)(E,1)/r! |
Ω |
1.3311803497019 |
Real period |
R |
0.28064608716015 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598e1 41382bh1 |
Quadratic twists by: -3 -11 |