Atkin-Lehner |
2- 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960cx |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
670187520 = 214 · 34 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -6 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-625,6097] |
[a1,a2,a3,a4,a6] |
j |
1650587344/40905 |
j-invariant |
L |
3.222082504869 |
L(r)(E,1)/r! |
Ω |
1.6110411514674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960br1 24240i1 |
Quadratic twists by: -4 8 |