Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944bs |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-20357129092202496 = -1 · 220 · 316 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 11- -2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68907,9777242] |
[a1,a2,a3,a4,a6] |
Generators |
[277:3456:1] |
Generators of the group modulo torsion |
j |
-12117869279209/6817561344 |
j-invariant |
L |
5.6933858492253 |
L(r)(E,1)/r! |
Ω |
0.35658185089234 |
Real period |
R |
1.9958201162885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8118l1 21648n1 |
Quadratic twists by: -4 -3 |