Atkin-Lehner |
2- 3+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
35880p |
Isogeny class |
Conductor |
35880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-181605615360 = -1 · 28 · 3 · 5 · 132 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,140,-20540] |
[a1,a2,a3,a4,a6] |
j |
1176960944/709396935 |
j-invariant |
L |
0.9462037477907 |
L(r)(E,1)/r! |
Ω |
0.47310187390509 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71760r1 107640e1 |
Quadratic twists by: -4 -3 |