Atkin-Lehner |
2- 3- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40194bj |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
7.1104010770639E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2737814,-1180126299] |
[a1,a2,a3,a4,a6] |
j |
3113205972637772808217/975363659405194752 |
j-invariant |
L |
4.329148682034 |
L(r)(E,1)/r! |
Ω |
0.12025413005777 |
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 |
13398b2 |
Quadratic twists by: -3 |