Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126fp |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-2.662407404628E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-304814,-256488515] |
[a1,a2,a3,a4,a6] |
Generators |
[1465:48659:1] |
Generators of the group modulo torsion |
j |
-36518366116233/310426468352 |
j-invariant |
L |
12.917696503455 |
L(r)(E,1)/r! |
Ω |
0.089211950782658 |
Real period |
R |
2.0110809122853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14014a1 18018bi1 |
Quadratic twists by: -3 -7 |