Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21280h |
Isogeny class |
Conductor |
21280 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
832000 |
Modular degree for the optimal curve |
Δ |
-1596665000000000000 = -1 · 212 · 513 · 75 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 0 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39198705,-94474773025] |
[a1,a2,a3,a4,a6] |
Generators |
[954030:176303125:27] |
Generators of the group modulo torsion |
j |
-1626218636958570284888896/389810791015625 |
j-invariant |
L |
6.1300092870924 |
L(r)(E,1)/r! |
Ω |
0.030168354448181 |
Real period |
R |
7.8151292066681 |
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 |
21280j1 42560bx1 106400cb1 |
Quadratic twists by: -4 8 5 |