Atkin-Lehner |
2- 3- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266bv |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
56576 |
Modular degree for the optimal curve |
Δ |
-833609097216 = -1 · 213 · 37 · 7 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 0 3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2263,-15127] |
[a1,a2,a3,a4,a6] |
Generators |
[63:580:1] |
Generators of the group modulo torsion |
j |
1758853833911/1143496704 |
j-invariant |
L |
10.950847475407 |
L(r)(E,1)/r! |
Ω |
0.50938049289064 |
Real period |
R |
0.41343008540834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16422n1 |
Quadratic twists by: -3 |