Atkin-Lehner |
2- 3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256cd |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
238584528 = 24 · 34 · 72 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17193,873468] |
[a1,a2,a3,a4,a6] |
j |
35130471503872000/14911533 |
j-invariant |
L |
2.8639480131757 |
L(r)(E,1)/r! |
Ω |
1.4319739952235 |
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 |
18564k1 |
Quadratic twists by: -4 |