Atkin-Lehner |
2- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
49400bc |
Isogeny class |
Conductor |
49400 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-470913218750000 = -1 · 24 · 59 · 133 · 193 |
Discriminant |
Eigenvalues |
2- 1 5- 1 2 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1417,1044338] |
[a1,a2,a3,a4,a6] |
Generators |
[983:30875:1] |
Generators of the group modulo torsion |
j |
10061824/15069223 |
j-invariant |
L |
7.7369759242732 |
L(r)(E,1)/r! |
Ω |
0.41175062934227 |
Real period |
R |
0.52195669558516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800x1 49400g1 |
Quadratic twists by: -4 5 |