Atkin-Lehner |
2- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19520r |
Isogeny class |
Conductor |
19520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
1561600 = 210 · 52 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 0 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88,312] |
[a1,a2,a3,a4,a6] |
Generators |
[1:15:1] |
Generators of the group modulo torsion |
j |
73598976/1525 |
j-invariant |
L |
3.4041883182479 |
L(r)(E,1)/r! |
Ω |
2.6749287003489 |
Real period |
R |
1.272627684545 |
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 |
19520f1 4880a1 97600cb1 |
Quadratic twists by: -4 8 5 |