Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094be |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-190461480716669184 = -1 · 28 · 38 · 118 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 11- 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26703,21070957] |
[a1,a2,a3,a4,a6] |
j |
-13475473/1218816 |
j-invariant |
L |
2.0987434525134 |
L(r)(E,1)/r! |
Ω |
0.26234293161792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16698bd1 50094ck1 |
Quadratic twists by: -3 -11 |