Atkin-Lehner |
2+ 3+ 5- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
76590g |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-167502330000 = -1 · 24 · 39 · 54 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 2 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69,-19675] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-293:1] |
Generators of the group modulo torsion |
j |
-1860867/8510000 |
j-invariant |
L |
4.5939581892542 |
L(r)(E,1)/r! |
Ω |
0.46281628592171 |
Real period |
R |
0.62038090587418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76590bg1 |
Quadratic twists by: -3 |