Atkin-Lehner |
3+ 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81627d |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
1909374623793 = 33 · 72 · 137 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1392817,632107094] |
[a1,a2,a3,a4,a6] |
Generators |
[10817482794:8424741301:15438249] |
Generators of the group modulo torsion |
j |
61907860387592857/395577 |
j-invariant |
L |
3.6669200201959 |
L(r)(E,1)/r! |
Ω |
0.5701211232677 |
Real period |
R |
12.863652550414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986697 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6279e1 |
Quadratic twists by: 13 |