Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64944y |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-355523198976 = -1 · 215 · 37 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 0 11+ -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1587,37618] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:198:1] |
Generators of the group modulo torsion |
j |
-148035889/119064 |
j-invariant |
L |
6.6603863106175 |
L(r)(E,1)/r! |
Ω |
0.87798707972693 |
Real period |
R |
0.94824662918548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8118e1 21648bf1 |
Quadratic twists by: -4 -3 |