Atkin-Lehner |
2- 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110352bh |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-2559211193088 = -1 · 28 · 33 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16133,797865] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:1210:1] [48:363:1] |
Generators of the group modulo torsion |
j |
-1024000000/5643 |
j-invariant |
L |
10.622627982473 |
L(r)(E,1)/r! |
Ω |
0.81638230438283 |
Real period |
R |
1.6264787840411 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27588e1 10032j1 |
Quadratic twists by: -4 -11 |