Atkin-Lehner |
2- 3+ 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
18492a |
Isogeny class |
Conductor |
18492 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
5634586368 = 28 · 33 · 233 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 5 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1812,-28872] |
[a1,a2,a3,a4,a6] |
j |
2571567815248/22010103 |
j-invariant |
L |
2.9283586978143 |
L(r)(E,1)/r! |
Ω |
0.73208967445357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73968r1 55476h1 |
Quadratic twists by: -4 -3 |