Atkin-Lehner |
7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24157f |
Isogeny class |
Conductor |
24157 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
481536 |
Modular degree for the optimal curve |
Δ |
-1949676337726781867 = -1 · 717 · 172 · 29 |
Discriminant |
Eigenvalues |
0 -3 0 7- 0 6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,53900,67007022] |
[a1,a2,a3,a4,a6] |
Generators |
[13944:411758:27] |
Generators of the group modulo torsion |
j |
147197952000000/16571975433083 |
j-invariant |
L |
2.7157232643526 |
L(r)(E,1)/r! |
Ω |
0.20166570667482 |
Real period |
R |
1.6833075570526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3451a1 |
Quadratic twists by: -7 |