Atkin-Lehner |
2+ 3- 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
36846l |
Isogeny class |
Conductor |
36846 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
8702877816 = 23 · 312 · 23 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 -6 -5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3258,-70628] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:28:1] |
Generators of the group modulo torsion |
j |
5247161161633/11938104 |
j-invariant |
L |
3.4549951090555 |
L(r)(E,1)/r! |
Ω |
0.63199684054684 |
Real period |
R |
2.7333958711452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12282g1 |
Quadratic twists by: -3 |