Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810s |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-302737460480000000 = -1 · 214 · 57 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 2 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,155195,12086101] |
[a1,a2,a3,a4,a6] |
j |
1747829720511/1280000000 |
j-invariant |
L |
0.78175675145943 |
L(r)(E,1)/r! |
Ω |
0.19543918526587 |
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 |
82810ba2 490k2 |
Quadratic twists by: -7 13 |