Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18720p |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-3820252999680 = -1 · 212 · 315 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -3 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1608,90704] |
[a1,a2,a3,a4,a6] |
Generators |
[40:468:1] |
Generators of the group modulo torsion |
j |
153990656/1279395 |
j-invariant |
L |
5.3863665518335 |
L(r)(E,1)/r! |
Ω |
0.57407395828966 |
Real period |
R |
2.3456762295407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18720q1 37440ef1 6240u1 93600dz1 |
Quadratic twists by: -4 8 -3 5 |