Atkin-Lehner |
3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
49725k |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
4520177314453125 = 36 · 510 · 133 · 172 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 4 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-46875,-2189844] |
[a1,a2,a3,a4,a6] |
Generators |
[771:20493:1] |
Generators of the group modulo torsion |
j |
1600000000/634933 |
j-invariant |
L |
3.6048876590859 |
L(r)(E,1)/r! |
Ω |
0.33573567029807 |
Real period |
R |
5.3686396441508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5525a1 49725x1 |
Quadratic twists by: -3 5 |