Atkin-Lehner |
2+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12506b |
Isogeny class |
Conductor |
12506 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4466941428196 = -1 · 22 · 138 · 372 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 -6 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1912,-96940] |
[a1,a2,a3,a4,a6] |
Generators |
[62:476:1] |
Generators of the group modulo torsion |
j |
160103007/925444 |
j-invariant |
L |
2.5841550627898 |
L(r)(E,1)/r! |
Ω |
0.38828173191097 |
Real period |
R |
1.6638402288923 |
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 |
100048f2 112554t2 962a2 |
Quadratic twists by: -4 -3 13 |