Atkin-Lehner |
3- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
79059i |
Isogeny class |
Conductor |
79059 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
79938373257 = 37 · 193 · 732 |
Discriminant |
Eigenvalues |
-1 3- 0 0 0 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1328,12615] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-281:1] |
Generators of the group modulo torsion |
j |
37763963875/11654523 |
j-invariant |
L |
4.8957415033029 |
L(r)(E,1)/r! |
Ω |
1.0038532824483 |
Real period |
R |
0.69670703428998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000746 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79059b1 |
Quadratic twists by: -19 |