Atkin-Lehner |
2- 3- 41- 73- |
Signs for the Atkin-Lehner involutions |
Class |
53874n |
Isogeny class |
Conductor |
53874 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
115937278992 = 24 · 310 · 412 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -2 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22901,1339517] |
[a1,a2,a3,a4,a6] |
Generators |
[85:-2:1] |
Generators of the group modulo torsion |
j |
1821972196025353/159036048 |
j-invariant |
L |
6.3277767938058 |
L(r)(E,1)/r! |
Ω |
1.0039678523934 |
Real period |
R |
0.78784604241938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17958h1 |
Quadratic twists by: -3 |