Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040cd |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-166646524233646080 = -1 · 231 · 35 · 5 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -3 13+ 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4984,-19638540] |
[a1,a2,a3,a4,a6] |
Generators |
[364:5526:1] |
Generators of the group modulo torsion |
j |
3342032927351/40685186580480 |
j-invariant |
L |
6.4180821596114 |
L(r)(E,1)/r! |
Ω |
0.14889367764987 |
Real period |
R |
4.310513556352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630a1 |
Quadratic twists by: -4 |