Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200cg |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-5038080000 = -1 · 216 · 3 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -1 -6 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-608,6912] |
[a1,a2,a3,a4,a6] |
Generators |
[16:32:1] |
Generators of the group modulo torsion |
j |
-9725425/1968 |
j-invariant |
L |
4.9131256872474 |
L(r)(E,1)/r! |
Ω |
1.3076122911634 |
Real period |
R |
0.93933150530379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6150be1 49200cz1 |
Quadratic twists by: -4 5 |