Atkin-Lehner |
3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025ce |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-1389463942624875 = -1 · 311 · 53 · 137 |
Discriminant |
Eigenvalues |
0 3- 5- 1 -1 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5070,-1798794] |
[a1,a2,a3,a4,a6] |
Generators |
[260:-3803:1] |
Generators of the group modulo torsion |
j |
-32768/3159 |
j-invariant |
L |
4.9810722726774 |
L(r)(E,1)/r! |
Ω |
0.21257066077391 |
Real period |
R |
0.73226713392357 |
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 |
12675be1 38025cf1 2925o1 |
Quadratic twists by: -3 5 13 |