Atkin-Lehner |
3+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
115989a |
Isogeny class |
Conductor |
115989 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
13438044897789 = 3 · 23 · 417 |
Discriminant |
Eigenvalues |
0 3+ 1 3 -4 0 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8965,278034] |
[a1,a2,a3,a4,a6] |
Generators |
[-4188:48717:64] |
Generators of the group modulo torsion |
j |
16777216/2829 |
j-invariant |
L |
5.3739119465756 |
L(r)(E,1)/r! |
Ω |
0.67500900631897 |
Real period |
R |
3.9806224473131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998905678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2829f1 |
Quadratic twists by: 41 |