Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200ck |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-20300000000 = -1 · 28 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -2 4 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,667,-1537] |
[a1,a2,a3,a4,a6] |
Generators |
[599:14686:1] |
Generators of the group modulo torsion |
j |
327680/203 |
j-invariant |
L |
8.0270824900224 |
L(r)(E,1)/r! |
Ω |
0.70136541941969 |
Real period |
R |
5.7224681101842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20300n1 81200bi1 |
Quadratic twists by: -4 5 |