Atkin-Lehner |
2+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29584c |
Isogeny class |
Conductor |
29584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
302720 |
Modular degree for the optimal curve |
Δ |
-128663708655831808 = -1 · 28 · 439 |
Discriminant |
Eigenvalues |
2+ -2 -2 -2 3 -5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-106009,-21814365] |
[a1,a2,a3,a4,a6] |
Generators |
[422:2963:1] |
Generators of the group modulo torsion |
j |
-1024 |
j-invariant |
L |
1.6420494201402 |
L(r)(E,1)/r! |
Ω |
0.12724564507813 |
Real period |
R |
6.4522814086564 |
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 |
14792b1 118336ba1 29584b1 |
Quadratic twists by: -4 8 -43 |