Atkin-Lehner |
3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
43365r |
Isogeny class |
Conductor |
43365 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
964249439265 = 34 · 5 · 79 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-103440,12796335] |
[a1,a2,a3,a4,a6] |
j |
1040402219634289/8195985 |
j-invariant |
L |
0.7905717583937 |
L(r)(E,1)/r! |
Ω |
0.79057175840762 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6195b1 |
Quadratic twists by: -7 |