Atkin-Lehner |
3- 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25389d |
Isogeny class |
Conductor |
25389 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
2165503977 = 310 · 7 · 132 · 31 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6903,-219024] |
[a1,a2,a3,a4,a6] |
Generators |
[208:2600:1] |
Generators of the group modulo torsion |
j |
49905130150513/2970513 |
j-invariant |
L |
4.464180935061 |
L(r)(E,1)/r! |
Ω |
0.52376767078777 |
Real period |
R |
4.2616041272141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463g1 |
Quadratic twists by: -3 |