Atkin-Lehner |
3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025bu |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-10721172396796875 = -1 · 37 · 57 · 137 |
Discriminant |
Eigenvalues |
-2 3- 5+ -3 -5 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12675,5011906] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:1012:1] [65:-2113:1] |
Generators of the group modulo torsion |
j |
-4096/195 |
j-invariant |
L |
4.2547104883833 |
L(r)(E,1)/r! |
Ω |
0.33615530632843 |
Real period |
R |
0.39553057845257 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12675k1 7605r1 2925h1 |
Quadratic twists by: -3 5 13 |