Atkin-Lehner |
3- 5- 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
81765h |
Isogeny class |
Conductor |
81765 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
72240 |
Modular degree for the optimal curve |
Δ |
103483828125 = 36 · 57 · 23 · 79 |
Discriminant |
Eigenvalues |
0 3- 5- 0 -6 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1812,-25335] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:62:1] |
Generators of the group modulo torsion |
j |
902548946944/141953125 |
j-invariant |
L |
3.9910392339916 |
L(r)(E,1)/r! |
Ω |
0.73950475256904 |
Real period |
R |
0.77098688014935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9085c1 |
Quadratic twists by: -3 |