Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608t |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-71549124083712 = -1 · 221 · 34 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5057,431553] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:576:1] |
Generators of the group modulo torsion |
j |
-54569318257/272938248 |
j-invariant |
L |
5.4911430324724 |
L(r)(E,1)/r! |
Ω |
0.53354895339367 |
Real period |
R |
1.2864665219074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000185307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608cx2 3894n2 |
Quadratic twists by: -4 8 |