Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6762bl |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-11930410495584 = -1 · 25 · 39 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30136,2017952] |
[a1,a2,a3,a4,a6] |
Generators |
[116:-352:1] |
Generators of the group modulo torsion |
j |
-25727239787761/101406816 |
j-invariant |
L |
6.7418101285408 |
L(r)(E,1)/r! |
Ω |
0.71763740249087 |
Real period |
R |
0.052191399980148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54096bj1 20286u1 966h1 |
Quadratic twists by: -4 -3 -7 |