Atkin-Lehner |
2- 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160bv |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-9815156564400 = -1 · 24 · 36 · 52 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2399,144590] |
[a1,a2,a3,a4,a6] |
j |
95392323977216/613447285275 |
j-invariant |
L |
3.1590807844068 |
L(r)(E,1)/r! |
Ω |
0.52651346403397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12540e1 |
Quadratic twists by: -4 |