Atkin-Lehner |
3- 5- 29- 89- |
Signs for the Atkin-Lehner involutions |
Class |
38715f |
Isogeny class |
Conductor |
38715 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
489984 |
Modular degree for the optimal curve |
Δ |
-28298623388671875 = -1 · 3 · 511 · 293 · 892 |
Discriminant |
Eigenvalues |
2 3- 5- 0 -5 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,55440,-6326761] |
[a1,a2,a3,a4,a6] |
Generators |
[6538:193571:8] |
Generators of the group modulo torsion |
j |
18844540114697252864/28298623388671875 |
j-invariant |
L |
14.677560423928 |
L(r)(E,1)/r! |
Ω |
0.19784412419493 |
Real period |
R |
1.1240529889647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116145g1 |
Quadratic twists by: -3 |