Atkin-Lehner |
2+ 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5928c |
Isogeny class |
Conductor |
5928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-1250286336 = -1 · 28 · 32 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 3 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-265,-2291] |
[a1,a2,a3,a4,a6] |
Generators |
[25:78:1] |
Generators of the group modulo torsion |
j |
-8069733376/4883931 |
j-invariant |
L |
3.9115792514123 |
L(r)(E,1)/r! |
Ω |
0.57555684847889 |
Real period |
R |
0.21238015311552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11856m1 47424bc1 17784s1 77064n1 |
Quadratic twists by: -4 8 -3 13 |