Atkin-Lehner |
2- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050bu |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
36144897851562500 = 22 · 511 · 76 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 13- -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2565938,-1582227008] |
[a1,a2,a3,a4,a6] |
j |
119575490767273459801/2313273462500 |
j-invariant |
L |
1.4314288449863 |
L(r)(E,1)/r! |
Ω |
0.11928573703587 |
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 |
10010g1 |
Quadratic twists by: 5 |