Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
35600b |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-14240000000 = -1 · 211 · 57 · 89 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 -1 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,592,1312] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-100:1] |
Generators of the group modulo torsion |
j |
715822/445 |
j-invariant |
L |
3.0103863756873 |
L(r)(E,1)/r! |
Ω |
0.77446321549807 |
Real period |
R |
0.24294136211424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17800h1 7120b1 |
Quadratic twists by: -4 5 |