Atkin-Lehner |
2- 3- 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194bh |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
Δ |
3.9795908075941E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4648415,-2379647545] |
[a1,a2,a3,a4,a6] |
Generators |
[-1229:39030:1] |
Generators of the group modulo torsion |
j |
15237396828430237203625/5458972301226436608 |
j-invariant |
L |
8.8002240601153 |
L(r)(E,1)/r! |
Ω |
0.10587488521051 |
Real period |
R |
1.8890702160159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398o2 |
Quadratic twists by: -3 |