Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296cv |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-241458610176 = -1 · 217 · 36 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 6 -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1248,16884] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:18:1] [-6:96:1] |
Generators of the group modulo torsion |
j |
145262087/163296 |
j-invariant |
L |
12.157484048719 |
L(r)(E,1)/r! |
Ω |
0.65775958376166 |
Real period |
R |
0.77013220065174 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999925209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162x1 121296bv1 |
Quadratic twists by: -4 -19 |