Atkin-Lehner |
2+ 3- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
82584d |
Isogeny class |
Conductor |
82584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
408576 |
Modular degree for the optimal curve |
Δ |
-138570698336256 = -1 · 211 · 313 · 31 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 -5 7 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2301,564766] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:486:1] |
Generators of the group modulo torsion |
j |
902435326/92814093 |
j-invariant |
L |
6.6966767828804 |
L(r)(E,1)/r! |
Ω |
0.44654376380621 |
Real period |
R |
1.8745857985135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977801 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27528h1 |
Quadratic twists by: -3 |