Atkin-Lehner |
2+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
38686d |
Isogeny class |
Conductor |
38686 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
730800 |
Modular degree for the optimal curve |
Δ |
-779071757631550336 = -1 · 27 · 233 · 298 |
Discriminant |
Eigenvalues |
2+ 0 -3 -2 5 -6 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,135664,-37895552] |
[a1,a2,a3,a4,a6] |
Generators |
[3366:75689:8] |
Generators of the group modulo torsion |
j |
551990727/1557376 |
j-invariant |
L |
1.7730488216047 |
L(r)(E,1)/r! |
Ω |
0.14561577775824 |
Real period |
R |
1.3529126283956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38686i1 |
Quadratic twists by: 29 |