Atkin-Lehner |
5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38675r |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
1018336317578125 = 58 · 74 · 13 · 174 |
Discriminant |
Eigenvalues |
0 1 5- 7+ 2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-105833,13127494] |
[a1,a2,a3,a4,a6] |
Generators |
[158:612:1] |
Generators of the group modulo torsion |
j |
335607070720000/2606940973 |
j-invariant |
L |
5.0921281284271 |
L(r)(E,1)/r! |
Ω |
0.49563745948771 |
Real period |
R |
0.8561580699343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38675k1 |
Quadratic twists by: 5 |