Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110466k |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
963072 |
Modular degree for the optimal curve |
Δ |
-171749474161964208 = -1 · 24 · 37 · 172 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 0 1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-147897,29648349] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:6543:1] |
Generators of the group modulo torsion |
j |
-28896625/13872 |
j-invariant |
L |
3.7131618883733 |
L(r)(E,1)/r! |
Ω |
0.30008186947485 |
Real period |
R |
0.51557622378175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000102964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36822v1 110466bo1 |
Quadratic twists by: -3 -19 |