Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18648x |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-21934170849024 = -1 · 28 · 39 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1119,-225790] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1080:1] |
Generators of the group modulo torsion |
j |
-830321872/117531351 |
j-invariant |
L |
5.8977030431498 |
L(r)(E,1)/r! |
Ω |
0.30168349067103 |
Real period |
R |
2.4436633199714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37296y1 6216c1 |
Quadratic twists by: -4 -3 |