Atkin-Lehner |
2+ 3- 7- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774bg |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-45782972928 = -1 · 29 · 39 · 7 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,882,1876] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:32:1] |
Generators of the group modulo torsion |
j |
104021936927/62802432 |
j-invariant |
L |
3.2283132484968 |
L(r)(E,1)/r! |
Ω |
0.69686614854928 |
Real period |
R |
2.3163079824749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27258y1 |
Quadratic twists by: -3 |