Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810cr |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
62 |
Product of Tamagawa factors cp |
deg |
11457600 |
Modular degree for the optimal curve |
Δ |
-1.4531612860133E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28458521,58718884095] |
[a1,a2,a3,a4,a6] |
Generators |
[162964:3284311:64] |
Generators of the group modulo torsion |
j |
-371620692159996346278931/2118619749253938210 |
j-invariant |
L |
9.8086380737471 |
L(r)(E,1)/r! |
Ω |
0.12561827179621 |
Real period |
R |
1.2594014998297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995567 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810a1 |
Quadratic twists by: -19 |