Atkin-Lehner |
3- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
89889h |
Isogeny class |
Conductor |
89889 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
794880 |
Modular degree for the optimal curve |
Δ |
-20006959949995779 = -1 · 32 · 199 · 832 |
Discriminant |
Eigenvalues |
2 3- -1 -1 -3 4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-27556,-7038581] |
[a1,a2,a3,a4,a6] |
Generators |
[4432044:223983019:1728] |
Generators of the group modulo torsion |
j |
-49188818944/425264859 |
j-invariant |
L |
13.861799528976 |
L(r)(E,1)/r! |
Ω |
0.16254445878744 |
Real period |
R |
10.660006214362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4731b1 |
Quadratic twists by: -19 |