Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296cq |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
2927232 |
Modular degree for the optimal curve |
Δ |
-7690576497576247296 = -1 · 234 · 311 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 5 6 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-865760,337259892] |
[a1,a2,a3,a4,a6] |
j |
-48534394252061881/5201058594816 |
j-invariant |
L |
5.0201059231809 |
L(r)(E,1)/r! |
Ω |
0.22818664532952 |
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 |
15162v1 121296bs1 |
Quadratic twists by: -4 -19 |