Atkin-Lehner |
2+ 5- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53360f |
Isogeny class |
Conductor |
53360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-1301397040 = -1 · 24 · 5 · 23 · 294 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-242,-2261] |
[a1,a2,a3,a4,a6] |
j |
-97960237056/81337315 |
j-invariant |
L |
2.3385701065098 |
L(r)(E,1)/r! |
Ω |
0.58464252626587 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26680f1 |
Quadratic twists by: -4 |