Atkin-Lehner |
3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
2583a |
Isogeny class |
Conductor |
2583 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-130237443 = -1 · 33 · 76 · 41 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 3 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,120,213] |
[a1,a2,a3,a4,a6] |
j |
7077888000/4823609 |
j-invariant |
L |
1.5551938020269 |
L(r)(E,1)/r! |
Ω |
1.1663953515202 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
41328n1 2583b2 64575a1 18081d1 |
Quadratic twists by: -4 -3 5 -7 |