Atkin-Lehner |
3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
2583c |
Isogeny class |
Conductor |
2583 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-1292985441628461 = -1 · 313 · 7 · 415 |
Discriminant |
Eigenvalues |
1 3- -3 7+ 6 -7 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,26469,-502362] |
[a1,a2,a3,a4,a6] |
j |
2813193182704463/1773642581109 |
j-invariant |
L |
1.11147345558 |
L(r)(E,1)/r! |
Ω |
0.277868363895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41328ce1 861c1 64575bf1 18081l1 |
Quadratic twists by: -4 -3 5 -7 |