Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400hz |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-1267295466240000000 = -1 · 214 · 316 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 2 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28133,54183363] |
[a1,a2,a3,a4,a6] |
Generators |
[1438:54675:1] |
Generators of the group modulo torsion |
j |
-9619385344/4950372915 |
j-invariant |
L |
10.55064739435 |
L(r)(E,1)/r! |
Ω |
0.22061330775609 |
Real period |
R |
1.4945051808417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999899706 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400bi1 27600d1 22080ck1 |
Quadratic twists by: -4 8 5 |