Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810c |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1035504 |
Modular degree for the optimal curve |
Δ |
-358269184000000000 = -1 · 217 · 59 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 1 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1405,-28798379] |
[a1,a2,a3,a4,a6] |
j |
219083319/256000000000 |
j-invariant |
L |
0.4167967033406 |
L(r)(E,1)/r! |
Ω |
0.13893223643161 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82810v1 82810cj1 |
Quadratic twists by: -7 13 |