Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712i |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-1.0729581355177E+19 |
Discriminant |
Eigenvalues |
2+ 2 -1 7+ -2 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,313439,142285857] |
[a1,a2,a3,a4,a6] |
Generators |
[-242991:594944:729] |
Generators of the group modulo torsion |
j |
15925559/50176 |
j-invariant |
L |
8.1117219928845 |
L(r)(E,1)/r! |
Ω |
0.16091683607497 |
Real period |
R |
6.3011756482351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712cz1 2366b1 75712bf1 |
Quadratic twists by: -4 8 13 |