Atkin-Lehner |
2+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82600a |
Isogeny class |
Conductor |
82600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
167157620000000 = 28 · 57 · 74 · 592 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1600175,-779110750] |
[a1,a2,a3,a4,a6] |
Generators |
[6490:512050:1] |
Generators of the group modulo torsion |
j |
113283370976404176/41789405 |
j-invariant |
L |
5.2908539831178 |
L(r)(E,1)/r! |
Ω |
0.13423250472849 |
Real period |
R |
4.9269493169127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16520b2 |
Quadratic twists by: 5 |