Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126t |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-66113609799621384 = -1 · 23 · 33 · 78 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21894,12302492] |
[a1,a2,a3,a4,a6] |
Generators |
[41:3622:1] |
Generators of the group modulo torsion |
j |
365372528949/20813200408 |
j-invariant |
L |
6.2768809491291 |
L(r)(E,1)/r! |
Ω |
0.26501283745625 |
Real period |
R |
5.9212988877467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000112247 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126du2 18018b2 |
Quadratic twists by: -3 -7 |