Atkin-Lehner |
3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585bg |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
178426395 = 39 · 5 · 72 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 5 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-167,564] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:27:1] |
Generators of the group modulo torsion |
j |
14338681/4995 |
j-invariant |
L |
4.8953538098584 |
L(r)(E,1)/r! |
Ω |
1.6557980459644 |
Real period |
R |
0.73912302039473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27195e1 81585j1 |
Quadratic twists by: -3 -7 |