Atkin-Lehner |
2- 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110466bx |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-19142356253345856 = -1 · 26 · 39 · 17 · 197 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -6 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19426,6569709] |
[a1,a2,a3,a4,a6] |
Generators |
[119:-3309:1] |
Generators of the group modulo torsion |
j |
23639903/558144 |
j-invariant |
L |
6.3646705407137 |
L(r)(E,1)/r! |
Ω |
0.28946648072053 |
Real period |
R |
0.45807480680477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36822d1 5814k1 |
Quadratic twists by: -3 -19 |