Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810p |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
5905840221226400000 = 28 · 55 · 76 · 137 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6964494,7072736192] |
[a1,a2,a3,a4,a6] |
j |
65787589563409/10400000 |
j-invariant |
L |
0.9265176668635 |
L(r)(E,1)/r! |
Ω |
0.23162940289713 |
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 |
1690e1 6370bb1 |
Quadratic twists by: -7 13 |