Atkin-Lehner |
3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
81585y |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-2623960868169375 = -1 · 39 · 54 · 78 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -6 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16547,-2593006] |
[a1,a2,a3,a4,a6] |
j |
-5841725401/30594375 |
j-invariant |
L |
1.5166082859094 |
L(r)(E,1)/r! |
Ω |
0.18957603614302 |
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 |
27195m1 11655c1 |
Quadratic twists by: -3 -7 |