Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810k |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-129390625000 = -1 · 23 · 59 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3448,78408] |
[a1,a2,a3,a4,a6] |
j |
-547695899569/15625000 |
j-invariant |
L |
1.0379307179375 |
L(r)(E,1)/r! |
Ω |
1.0379307126829 |
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 |
82810x2 82810co2 |
Quadratic twists by: -7 13 |