Atkin-Lehner |
2- 5- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
31720f |
Isogeny class |
Conductor |
31720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
63440 = 24 · 5 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1322,18501] |
[a1,a2,a3,a4,a6] |
Generators |
[615:388:27] |
Generators of the group modulo torsion |
j |
15969749170176/3965 |
j-invariant |
L |
5.4218086142704 |
L(r)(E,1)/r! |
Ω |
2.7869383754853 |
Real period |
R |
3.8908708294106 |
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 |
63440e1 |
Quadratic twists by: -4 |