Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742x |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1493201952 = -1 · 25 · 36 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- 6 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-306,-2700] |
[a1,a2,a3,a4,a6] |
j |
-8231953/3872 |
j-invariant |
L |
1.1161295802562 |
L(r)(E,1)/r! |
Ω |
0.55806494954444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638p1 104742l1 |
Quadratic twists by: -3 -23 |