Atkin-Lehner |
3- 7+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
50589k |
Isogeny class |
Conductor |
50589 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-7.783544709967E+21 |
Discriminant |
Eigenvalues |
0 3- 1 7+ 11- 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4502418,2120304438] |
[a1,a2,a3,a4,a6] |
j |
13846296264235444699136/10677016063054858979 |
j-invariant |
L |
2.0259993938527 |
L(r)(E,1)/r! |
Ω |
0.084416641388409 |
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 |
5621b1 |
Quadratic twists by: -3 |