Atkin-Lehner |
2- 3- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38064ba |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-2280185856 = -1 · 213 · 33 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 2 4 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,168,2196] |
[a1,a2,a3,a4,a6] |
Generators |
[12:78:1] |
Generators of the group modulo torsion |
j |
127263527/556686 |
j-invariant |
L |
7.075148718986 |
L(r)(E,1)/r! |
Ω |
1.0433044641896 |
Real period |
R |
0.5651233621818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4758a1 114192bk1 |
Quadratic twists by: -4 -3 |