Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382bx |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-32493664715840064 = -1 · 26 · 38 · 118 · 192 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32693,-8958067] |
[a1,a2,a3,a4,a6] |
j |
-24729001/207936 |
j-invariant |
L |
3.7436005570656 |
L(r)(E,1)/r! |
Ω |
0.15598335654887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794n1 41382bf1 |
Quadratic twists by: -3 -11 |