Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126bz |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
37748736 |
Modular degree for the optimal curve |
Δ |
-3.653019557725E+25 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,36874647,-277736606771] |
[a1,a2,a3,a4,a6] |
Generators |
[14289:1772315:1] |
Generators of the group modulo torsion |
j |
64653427259057355263/425928037217050368 |
j-invariant |
L |
3.1866053572182 |
L(r)(E,1)/r! |
Ω |
0.032466084855281 |
Real period |
R |
6.1344888761398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999992115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042ck1 18018h1 |
Quadratic twists by: -3 -7 |