Atkin-Lehner |
2- 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
81872bk |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-143024457777152 = -1 · 225 · 73 · 172 · 43 |
Discriminant |
Eigenvalues |
2- -1 2 7- 3 2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3688,-570128] |
[a1,a2,a3,a4,a6] |
Generators |
[1548:60928:1] |
Generators of the group modulo torsion |
j |
1354000227047/34918080512 |
j-invariant |
L |
6.9019154973621 |
L(r)(E,1)/r! |
Ω |
0.28095642173973 |
Real period |
R |
1.0235744406913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10234c1 |
Quadratic twists by: -4 |