Atkin-Lehner |
2+ 3- 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
91632h |
Isogeny class |
Conductor |
91632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36352 |
Modular degree for the optimal curve |
Δ |
-3344659632 = -1 · 24 · 32 · 234 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,73,-2748] |
[a1,a2,a3,a4,a6] |
Generators |
[3529788988:6199642260:273359449] |
Generators of the group modulo torsion |
j |
2652219392/209041227 |
j-invariant |
L |
10.465126572945 |
L(r)(E,1)/r! |
Ω |
0.67203435478689 |
Real period |
R |
15.57230889955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45816b1 |
Quadratic twists by: -4 |