Atkin-Lehner |
2+ 3- 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
126072g |
Isogeny class |
Conductor |
126072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1855915666947072 = 210 · 36 · 176 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34515,1339902] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:396:1] |
Generators of the group modulo torsion |
j |
6091438450500/2486169607 |
j-invariant |
L |
6.0486877423548 |
L(r)(E,1)/r! |
Ω |
0.42521576762034 |
Real period |
R |
3.5562460950462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000148374 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14008d2 |
Quadratic twists by: -3 |