Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608dn |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-41405743104 = -1 · 215 · 3 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-737,-12705] |
[a1,a2,a3,a4,a6] |
Generators |
[164682:2461375:729] |
Generators of the group modulo torsion |
j |
-1352899016/1263603 |
j-invariant |
L |
8.7255700730322 |
L(r)(E,1)/r! |
Ω |
0.44115487134894 |
Real period |
R |
9.8894635740888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608bz2 62304b2 |
Quadratic twists by: -4 8 |