Atkin-Lehner |
2- 3+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530bl |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-318969584640 = -1 · 210 · 33 · 5 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-242,-27151] |
[a1,a2,a3,a4,a6] |
Generators |
[39:127:1] |
Generators of the group modulo torsion |
j |
-57825915363/11813688320 |
j-invariant |
L |
8.443167256586 |
L(r)(E,1)/r! |
Ω |
0.43078861821305 |
Real period |
R |
0.97996638021787 |
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 |
19530b1 97650i1 |
Quadratic twists by: -3 5 |