Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38376q |
Isogeny class |
Conductor |
38376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23296 |
Modular degree for the optimal curve |
Δ |
-13596386544 = -1 · 24 · 313 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -2 13+ -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-831,-10793] |
[a1,a2,a3,a4,a6] |
Generators |
[274:243:8] |
Generators of the group modulo torsion |
j |
-5441006848/1165671 |
j-invariant |
L |
8.111735873148 |
L(r)(E,1)/r! |
Ω |
0.43956090507777 |
Real period |
R |
2.3067724459343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76752i1 12792c1 |
Quadratic twists by: -4 -3 |