Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64944bc |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24600576 |
Modular degree for the optimal curve |
Δ |
-5496707204955242496 = -1 · 220 · 38 · 117 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 11+ -6 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1388496459,19914310688506] |
[a1,a2,a3,a4,a6] |
Generators |
[21509:-1152:1] |
Generators of the group modulo torsion |
j |
-99144942546405114122445577/1840836121344 |
j-invariant |
L |
1.4262709399341 |
L(r)(E,1)/r! |
Ω |
0.12445416264854 |
Real period |
R |
1.4325263512694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8118p1 21648bh1 |
Quadratic twists by: -4 -3 |