Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
19080o |
Isogeny class |
Conductor |
19080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
8111915424000 = 28 · 314 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20847,-1150414] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:90:1] |
Generators of the group modulo torsion |
j |
5368919813584/43466625 |
j-invariant |
L |
4.4795001110673 |
L(r)(E,1)/r! |
Ω |
0.39751243129323 |
Real period |
R |
0.93906918761721 |
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 |
38160o1 6360a1 95400g1 |
Quadratic twists by: -4 -3 5 |