Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bb |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
38387961437971600 = 24 · 52 · 76 · 138 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-717859,234092613] |
[a1,a2,a3,a4,a6] |
Generators |
[282:7209:1] |
Generators of the group modulo torsion |
j |
72043225281/67600 |
j-invariant |
L |
3.8548535672907 |
L(r)(E,1)/r! |
Ω |
0.36230634270063 |
Real period |
R |
2.659940712773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003916 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1690a2 6370l2 |
Quadratic twists by: -7 13 |