Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600be |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1333248 |
Modular degree for the optimal curve |
Δ |
-1586250000000000 = -1 · 210 · 33 · 513 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 6 -1 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3825675,-2880118250] |
[a1,a2,a3,a4,a6] |
Generators |
[8873270:1422975000:343] |
Generators of the group modulo torsion |
j |
-14333893854522732/3671875 |
j-invariant |
L |
7.876124414015 |
L(r)(E,1)/r! |
Ω |
0.05397498547145 |
Real period |
R |
9.120109464088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84600b1 16920c1 |
Quadratic twists by: -3 5 |