Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686dd |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1.1756496271426E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-161652,-522284400] |
[a1,a2,a3,a4,a6] |
j |
-822656953/207028224 |
j-invariant |
L |
6.672662584865 |
L(r)(E,1)/r! |
Ω |
0.08340828231575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1014e1 3822m1 |
Quadratic twists by: -7 13 |