Atkin-Lehner |
5- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
38675z |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
212480 |
Modular degree for the optimal curve |
Δ |
38337999816559625 = 53 · 710 · 13 · 174 |
Discriminant |
Eigenvalues |
-1 0 5- 7- -4 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-85090,1610112] |
[a1,a2,a3,a4,a6] |
Generators |
[3582:56515:8] [-270:2336:1] |
Generators of the group modulo torsion |
j |
545060217440085381/306703998532477 |
j-invariant |
L |
5.6150126387653 |
L(r)(E,1)/r! |
Ω |
0.31444736877955 |
Real period |
R |
0.89283822926537 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38675s1 |
Quadratic twists by: 5 |