Atkin-Lehner |
2+ 3+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41952b |
Isogeny class |
Conductor |
41952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
41435822592 = 29 · 33 · 194 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6744,215208] |
[a1,a2,a3,a4,a6] |
Generators |
[53:62:1] |
Generators of the group modulo torsion |
j |
66262959914696/80929341 |
j-invariant |
L |
1.8719377216147 |
L(r)(E,1)/r! |
Ω |
1.1416249343535 |
Real period |
R |
3.2794268332376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41952j4 83904bo4 125856bd4 |
Quadratic twists by: -4 8 -3 |