Atkin-Lehner |
2+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
40678g |
Isogeny class |
Conductor |
40678 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
2.6598569454617E+19 |
Discriminant |
Eigenvalues |
2+ 3 3 3 11+ 1 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62738443,191286343877] |
[a1,a2,a3,a4,a6] |
j |
14770255715917592556759633/14385380992221184 |
j-invariant |
L |
6.3774921268438 |
L(r)(E,1)/r! |
Ω |
0.17715255908051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40678r1 |
Quadratic twists by: -43 |