Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742q |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
218426362075944 = 23 · 36 · 11 · 237 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 11+ -1 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17556,-539704] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:319:1] |
Generators of the group modulo torsion |
j |
5545233/2024 |
j-invariant |
L |
3.5596345696617 |
L(r)(E,1)/r! |
Ω |
0.42742679154004 |
Real period |
R |
1.041007092802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638s1 4554n1 |
Quadratic twists by: -3 -23 |