Atkin-Lehner |
3+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
109551f |
Isogeny class |
Conductor |
109551 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1465344 |
Modular degree for the optimal curve |
Δ |
-5334597053516644563 = -1 · 3 · 134 · 538 |
Discriminant |
Eigenvalues |
1 3+ -2 3 0 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-89946,111570819] |
[a1,a2,a3,a4,a6] |
Generators |
[-4010:46569:8] |
Generators of the group modulo torsion |
j |
-1292617/85683 |
j-invariant |
L |
4.9807054240915 |
L(r)(E,1)/r! |
Ω |
0.19947461441712 |
Real period |
R |
6.2422797965151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109551j1 |
Quadratic twists by: 53 |