Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976g |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-2722278408192 = -1 · 220 · 32 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ -4 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2879,-53567] |
[a1,a2,a3,a4,a6] |
Generators |
[67:660:1] |
Generators of the group modulo torsion |
j |
10063705679/10384668 |
j-invariant |
L |
5.9269420689874 |
L(r)(E,1)/r! |
Ω |
0.43837684075109 |
Real period |
R |
3.3800497186572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976bz1 1218j1 116928bv1 |
Quadratic twists by: -4 8 -3 |