Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450bj |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
61644399468750 = 2 · 36 · 56 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -4 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-53592,-4746934] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:178:1] |
Generators of the group modulo torsion |
j |
1494447319737/5411854 |
j-invariant |
L |
3.8597882804501 |
L(r)(E,1)/r! |
Ω |
0.31384756500988 |
Real period |
R |
1.5372862138341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002512 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8050n2 2898q2 |
Quadratic twists by: -3 5 |