Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382ct |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
84000 |
Modular degree for the optimal curve |
Δ |
-785212525152 = -1 · 25 · 36 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3- 4 -3 11- 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23,42639] |
[a1,a2,a3,a4,a6] |
Generators |
[69:570:1] |
Generators of the group modulo torsion |
j |
-1/608 |
j-invariant |
L |
11.413915596496 |
L(r)(E,1)/r! |
Ω |
0.71306179727087 |
Real period |
R |
1.600690941539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598k1 342g1 |
Quadratic twists by: -3 -11 |