Atkin-Lehner |
2- 5- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
53950bb |
Isogeny class |
Conductor |
53950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-4214843750 = -1 · 2 · 59 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 1 5- -1 5 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4013,-98233] |
[a1,a2,a3,a4,a6] |
j |
-3659383421/2158 |
j-invariant |
L |
5.3983227914006 |
L(r)(E,1)/r! |
Ω |
0.29990682180443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53950p1 |
Quadratic twists by: 5 |