Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944s |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-3834878256 = -1 · 24 · 312 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 11+ 6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44994,-3673501] |
[a1,a2,a3,a4,a6] |
Generators |
[215346358885:3204292542354:582182875] |
Generators of the group modulo torsion |
j |
-863654446077952/328779 |
j-invariant |
L |
6.0825081389276 |
L(r)(E,1)/r! |
Ω |
0.16390073385428 |
Real period |
R |
18.555463407306 |
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 |
32472x1 21648g1 |
Quadratic twists by: -4 -3 |