Atkin-Lehner |
2- 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41952o |
Isogeny class |
Conductor |
41952 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
-20967220956672 = -1 · 29 · 311 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 3- 2 4 6 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4512,247788] |
[a1,a2,a3,a4,a6] |
j |
-19845281961224/40951603431 |
j-invariant |
L |
6.668441797815 |
L(r)(E,1)/r! |
Ω |
0.60622198161544 |
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 |
41952m1 83904v1 125856s1 |
Quadratic twists by: -4 8 -3 |