Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50094cc |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-647819880717636 = -1 · 22 · 314 · 112 · 234 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 11- 1 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6854,-1242183] |
[a1,a2,a3,a4,a6] |
j |
-403630251937/7344147204 |
j-invariant |
L |
1.7629762364502 |
L(r)(E,1)/r! |
Ω |
0.22037202948497 |
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 |
16698j1 50094w1 |
Quadratic twists by: -3 -11 |