Atkin-Lehner |
2- 5+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
81700g |
Isogeny class |
Conductor |
81700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1963008 |
Modular degree for the optimal curve |
Δ |
-24254687500000000 = -1 · 28 · 514 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 -3 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15702533,23955079937] |
[a1,a2,a3,a4,a6] |
j |
-107046603683765223424/6063671875 |
j-invariant |
L |
3.417543285624 |
L(r)(E,1)/r! |
Ω |
0.2847952749393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16340a1 |
Quadratic twists by: 5 |