Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
10458n |
Isogeny class |
Conductor |
10458 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-59757572883456 = -1 · 210 · 315 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 1 -4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-76914,-8199468] |
[a1,a2,a3,a4,a6] |
Generators |
[852:22902:1] |
Generators of the group modulo torsion |
j |
-69026452436759329/81971979264 |
j-invariant |
L |
3.7064620630924 |
L(r)(E,1)/r! |
Ω |
0.14332997444907 |
Real period |
R |
1.6162277278964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83664bq1 3486q1 73206r1 |
Quadratic twists by: -4 -3 -7 |