Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382br |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
278784 |
Modular degree for the optimal curve |
Δ |
522558935488656 = 24 · 36 · 119 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20714,332313] |
[a1,a2,a3,a4,a6] |
j |
571787/304 |
j-invariant |
L |
1.826573643808 |
L(r)(E,1)/r! |
Ω |
0.45664341100566 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4598a1 41382j1 |
Quadratic twists by: -3 -11 |