Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124722bl |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13498368 |
Modular degree for the optimal curve |
Δ |
-319932409573033218 = -1 · 2 · 314 · 138 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 0 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66768890,210011882955] |
[a1,a2,a3,a4,a6] |
Generators |
[83764809930:86970838077:17984728] |
Generators of the group modulo torsion |
j |
-55356908515533625/538002 |
j-invariant |
L |
7.2822314371872 |
L(r)(E,1)/r! |
Ω |
0.21314411121484 |
Real period |
R |
17.082882083116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41574a1 124722q1 |
Quadratic twists by: -3 13 |