Atkin-Lehner |
2+ 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
2562b |
Isogeny class |
Conductor |
2562 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
-133432080516 = -1 · 22 · 313 · 73 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 2 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1278,648] |
[a1,a2,a3,a4,a6] |
j |
230560651724759/133432080516 |
j-invariant |
L |
1.2415786968845 |
L(r)(E,1)/r! |
Ω |
0.62078934844227 |
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 |
20496ba1 81984t1 7686r1 64050co1 |
Quadratic twists by: -4 8 -3 5 |