Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
50460r |
Isogeny class |
Conductor |
50460 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
574200 |
Modular degree for the optimal curve |
Δ |
-75036961944150000 = -1 · 24 · 3 · 55 · 298 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8130,13179093] |
[a1,a2,a3,a4,a6] |
Generators |
[1121:37845:1] |
Generators of the group modulo torsion |
j |
7424/9375 |
j-invariant |
L |
5.57436981663 |
L(r)(E,1)/r! |
Ω |
0.269614260541 |
Real period |
R |
1.3783568187177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50460g1 |
Quadratic twists by: 29 |