Atkin-Lehner |
2- 3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194bt |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
58602852 = 22 · 38 · 7 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-401,3165] |
[a1,a2,a3,a4,a6] |
j |
9759185353/80388 |
j-invariant |
L |
3.976267692553 |
L(r)(E,1)/r! |
Ω |
1.9881338462923 |
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 |
13398g1 |
Quadratic twists by: -3 |