Atkin-Lehner |
2+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82600a |
Isogeny class |
Conductor |
82600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
380928 |
Modular degree for the optimal curve |
Δ |
-2125770368750000 = -1 · 24 · 58 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99550,-12291375] |
[a1,a2,a3,a4,a6] |
Generators |
[803495:16170900:1331] |
Generators of the group modulo torsion |
j |
-436422865545216/8503081475 |
j-invariant |
L |
5.2908539831178 |
L(r)(E,1)/r! |
Ω |
0.13423250472849 |
Real period |
R |
9.8538986338254 |
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 |
16520b1 |
Quadratic twists by: 5 |