Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449br |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1264106857419 = -1 · 37 · 76 · 173 |
Discriminant |
Eigenvalues |
-2 3- 3 7- -5 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2499,-24782] |
[a1,a2,a3,a4,a6] |
Generators |
[238:3748:1] |
Generators of the group modulo torsion |
j |
4096/3 |
j-invariant |
L |
4.3036679721984 |
L(r)(E,1)/r! |
Ω |
0.48317111672776 |
Real period |
R |
1.1133912588154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999748686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42483m1 2601l1 127449bs1 |
Quadratic twists by: -3 -7 17 |