Atkin-Lehner |
2- 3+ 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40260b |
Isogeny class |
Conductor |
40260 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-186491868750000 = -1 · 24 · 36 · 58 · 11 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8019,593406] |
[a1,a2,a3,a4,a6] |
j |
3563774455709696/11655741796875 |
j-invariant |
L |
2.4105236630066 |
L(r)(E,1)/r! |
Ω |
0.40175394384829 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120780bb1 |
Quadratic twists by: -3 |