Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
35880s |
Isogeny class |
Conductor |
35880 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-18135187200 = -1 · 28 · 36 · 52 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-276,6624] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:-90:1] [-18:78:1] |
Generators of the group modulo torsion |
j |
-9115564624/70840575 |
j-invariant |
L |
8.8259712566706 |
L(r)(E,1)/r! |
Ω |
1.0521736204949 |
Real period |
R |
0.34951342173769 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71760a1 107640n1 |
Quadratic twists by: -4 -3 |