Atkin-Lehner |
2+ 3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
40194y |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
110554280298 = 2 · 38 · 74 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3087,64827] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:357:1] |
Generators of the group modulo torsion |
j |
4463599344625/151651962 |
j-invariant |
L |
3.9279556858358 |
L(r)(E,1)/r! |
Ω |
1.0484604647615 |
Real period |
R |
0.46830040543383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398bi2 |
Quadratic twists by: -3 |