Atkin-Lehner |
2- 3- 37- 53- |
Signs for the Atkin-Lehner involutions |
Class |
94128m |
Isogeny class |
Conductor |
94128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
809472 |
Modular degree for the optimal curve |
Δ |
-350583684857856 = -1 · 229 · 32 · 372 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 2 3 0 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-270512,-54251436] |
[a1,a2,a3,a4,a6] |
Generators |
[2049540:8122166:3375] |
Generators of the group modulo torsion |
j |
-534472021287631153/85591719936 |
j-invariant |
L |
8.1462950267708 |
L(r)(E,1)/r! |
Ω |
0.10466913108727 |
Real period |
R |
9.7286264717746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999889333 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11766d1 |
Quadratic twists by: -4 |