Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800fv |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-1851076800000000 = -1 · 212 · 37 · 58 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 2 -3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-408000,-100330000] |
[a1,a2,a3,a4,a6] |
Generators |
[65476:1505097:64] |
Generators of the group modulo torsion |
j |
-6439567360/1587 |
j-invariant |
L |
5.3420241401795 |
L(r)(E,1)/r! |
Ω |
0.094449159490256 |
Real period |
R |
7.0699731115553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999927716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5175o1 27600bx1 82800df1 |
Quadratic twists by: -4 -3 5 |