Atkin-Lehner |
2+ 3+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41952b |
Isogeny class |
Conductor |
41952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
118906735104 = 29 · 312 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4904,-129516] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:30:1] |
Generators of the group modulo torsion |
j |
25479663720776/232239717 |
j-invariant |
L |
1.8719377216147 |
L(r)(E,1)/r! |
Ω |
0.57081246717674 |
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 |
41952j3 83904bo3 125856bd3 |
Quadratic twists by: -4 8 -3 |