Atkin-Lehner |
2- 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110466bm |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
77278069316911104 = 220 · 37 · 173 · 193 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -4 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-110876,4828511] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:2923:1] [-299:3493:1] |
Generators of the group modulo torsion |
j |
30147017857867/15454961664 |
j-invariant |
L |
13.952650023735 |
L(r)(E,1)/r! |
Ω |
0.30317379797308 |
Real period |
R |
0.76703253583634 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36822j1 110466n1 |
Quadratic twists by: -3 -19 |