Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976f |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-15645278208 = -1 · 219 · 3 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 5 -3 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2689,54913] |
[a1,a2,a3,a4,a6] |
Generators |
[33:32:1] |
Generators of the group modulo torsion |
j |
-8205738913/59682 |
j-invariant |
L |
3.9631407374501 |
L(r)(E,1)/r! |
Ω |
1.2483906897434 |
Real period |
R |
0.79364993066843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38976by1 1218i1 116928bm1 |
Quadratic twists by: -4 8 -3 |