Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38376r |
Isogeny class |
Conductor |
38376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
244992 |
Modular degree for the optimal curve |
Δ |
-1851297588217584 = -1 · 24 · 317 · 13 · 413 |
Discriminant |
Eigenvalues |
2- 3- 3 5 -4 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22071,2424503] |
[a1,a2,a3,a4,a6] |
Generators |
[77:1087:1] |
Generators of the group modulo torsion |
j |
-101939437643008/158718929031 |
j-invariant |
L |
8.2477399087082 |
L(r)(E,1)/r! |
Ω |
0.42104816243537 |
Real period |
R |
4.8971475501773 |
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 |
76752j1 12792b1 |
Quadratic twists by: -4 -3 |