Atkin-Lehner |
2+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
82600c |
Isogeny class |
Conductor |
82600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-14165900000000 = -1 · 28 · 58 · 74 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5825,59250] |
[a1,a2,a3,a4,a6] |
Generators |
[39:588:1] [70:900:1] |
Generators of the group modulo torsion |
j |
5464513584/3541475 |
j-invariant |
L |
9.9753021117216 |
L(r)(E,1)/r! |
Ω |
0.43973700696615 |
Real period |
R |
5.6711750168309 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16520c2 |
Quadratic twists by: 5 |