Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810cq |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
14764600553066000 = 24 · 53 · 76 · 137 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 6 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-269305,-53585225] |
[a1,a2,a3,a4,a6] |
j |
3803721481/26000 |
j-invariant |
L |
10.063720544917 |
L(r)(E,1)/r! |
Ω |
0.20966084542849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1690f1 6370c1 |
Quadratic twists by: -7 13 |