Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742n |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
6044481501696 = 29 · 36 · 113 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 11+ -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4653,-29403] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:135:1] |
Generators of the group modulo torsion |
j |
1256216039/681472 |
j-invariant |
L |
4.4738561735903 |
L(r)(E,1)/r! |
Ω |
0.61635432846467 |
Real period |
R |
1.8146445835619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638v1 104742bc1 |
Quadratic twists by: -3 -23 |