Atkin-Lehner |
2+ 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382d |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-31781376 = -1 · 29 · 33 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 11- 1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-336,-2304] |
[a1,a2,a3,a4,a6] |
j |
-1286231859/9728 |
j-invariant |
L |
1.1144434146143 |
L(r)(E,1)/r! |
Ω |
0.55722170732458 |
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 |
41382bk2 41382bo1 |
Quadratic twists by: -3 -11 |