Atkin-Lehner |
2- 3+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194ba |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-4.9719063011276E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12420326,-17183027339] |
[a1,a2,a3,a4,a6] |
Generators |
[4747:173153:1] |
Generators of the group modulo torsion |
j |
-10765429767563357944539/252599009354650112 |
j-invariant |
L |
7.7485699247636 |
L(r)(E,1)/r! |
Ω |
0.040154459267861 |
Real period |
R |
5.3602528184938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40194a2 |
Quadratic twists by: -3 |