Atkin-Lehner |
2- 3- 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
76368o |
Isogeny class |
Conductor |
76368 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
1368576 |
Modular degree for the optimal curve |
Δ |
-3.4794114973925E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 -1 3 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,774336,-108178380] |
[a1,a2,a3,a4,a6] |
Generators |
[2442:-127872:1] |
Generators of the group modulo torsion |
j |
12535785590250481343/8494656976055808 |
j-invariant |
L |
7.1239775236315 |
L(r)(E,1)/r! |
Ω |
0.11719627678436 |
Real period |
R |
0.23025273578986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9546i1 |
Quadratic twists by: -4 |