Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4524a |
Isogeny class |
Conductor |
4524 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
1147702608 = 24 · 38 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3617,-82518] |
[a1,a2,a3,a4,a6] |
j |
327166871093248/71731413 |
j-invariant |
L |
1.8468405041334 |
L(r)(E,1)/r! |
Ω |
0.61561350137779 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18096bb1 72384bm1 13572b1 113100n1 |
Quadratic twists by: -4 8 -3 5 |