Atkin-Lehner |
2+ 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
24272a |
Isogeny class |
Conductor |
24272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
127379456 = 211 · 37 · 412 |
Discriminant |
Eigenvalues |
2+ 2 2 0 -2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1592,-23920] |
[a1,a2,a3,a4,a6] |
Generators |
[1254:350:27] |
Generators of the group modulo torsion |
j |
218019690866/62197 |
j-invariant |
L |
8.6769200133551 |
L(r)(E,1)/r! |
Ω |
0.75578539136971 |
Real period |
R |
5.7403332430321 |
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 |
12136a2 97088n2 |
Quadratic twists by: -4 8 |