Atkin-Lehner |
2+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23698a |
Isogeny class |
Conductor |
23698 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
269182169488 = 24 · 177 · 41 |
Discriminant |
Eigenvalues |
2+ 0 2 0 -4 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3811,88005] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:125:1] |
Generators of the group modulo torsion |
j |
253636137/11152 |
j-invariant |
L |
3.8481731498403 |
L(r)(E,1)/r! |
Ω |
0.96953335303633 |
Real period |
R |
3.9690982654581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1394e1 |
Quadratic twists by: 17 |