Atkin-Lehner |
2+ 3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194r |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
23792757912 = 23 · 38 · 72 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4338,-108644] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:32:1] |
Generators of the group modulo torsion |
j |
12385716632353/32637528 |
j-invariant |
L |
2.9664216901535 |
L(r)(E,1)/r! |
Ω |
0.588357446239 |
Real period |
R |
1.2604674713967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398bd2 |
Quadratic twists by: -3 |