Atkin-Lehner |
3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449s |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-7.1237635009396E+21 |
Discriminant |
Eigenvalues |
0 3- 4 7+ 4 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8326668,10100421756] |
[a1,a2,a3,a4,a6] |
j |
-629407744/70227 |
j-invariant |
L |
4.6446563749966 |
L(r)(E,1)/r! |
Ω |
0.12901820031881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42483p1 127449bd1 7497c1 |
Quadratic twists by: -3 -7 17 |