Atkin-Lehner |
2+ 13+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11362b |
Isogeny class |
Conductor |
11362 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
97467252148864 = 27 · 136 · 193 · 23 |
Discriminant |
Eigenvalues |
2+ 3 1 -4 5 13+ -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33634,-2317804] |
[a1,a2,a3,a4,a6] |
j |
4207910895470768121/97467252148864 |
j-invariant |
L |
2.8242746406391 |
L(r)(E,1)/r! |
Ω |
0.35303433007989 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90896o1 102258v1 |
Quadratic twists by: -4 -3 |