Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742h |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-1244428703671032 = -1 · 23 · 319 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 11+ 5 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20394,-1279476] |
[a1,a2,a3,a4,a6] |
Generators |
[11805:1276773:1] |
Generators of the group modulo torsion |
j |
105756712489/140300424 |
j-invariant |
L |
6.5068703333804 |
L(r)(E,1)/r! |
Ω |
0.25858789577127 |
Real period |
R |
3.1453861587186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34914bg1 104742z1 |
Quadratic twists by: -3 -23 |