Atkin-Lehner |
2+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24854a |
Isogeny class |
Conductor |
24854 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-282313007024 = -1 · 24 · 177 · 43 |
Discriminant |
Eigenvalues |
2+ 1 3 0 -2 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1583,8212] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:2306:27] |
Generators of the group modulo torsion |
j |
18191447/11696 |
j-invariant |
L |
5.8861464854429 |
L(r)(E,1)/r! |
Ω |
0.60841708882322 |
Real period |
R |
2.4186313113048 |
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 |
1462a1 |
Quadratic twists by: 17 |