Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552bg |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1281504378355712 = -1 · 222 · 78 · 53 |
Discriminant |
Eigenvalues |
2- -1 2 7- 6 -5 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10992,1782208] |
[a1,a2,a3,a4,a6] |
Generators |
[306:5194:1] |
Generators of the group modulo torsion |
j |
-304821217/2659328 |
j-invariant |
L |
5.4509008726641 |
L(r)(E,1)/r! |
Ω |
0.4138301976978 |
Real period |
R |
3.2929574152507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194m1 5936j1 |
Quadratic twists by: -4 -7 |