Atkin-Lehner |
3- 5+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
36465p |
Isogeny class |
Conductor |
36465 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
-202163600925 = -1 · 39 · 52 · 11 · 133 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 3 11+ 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3524,-83653] |
[a1,a2,a3,a4,a6] |
Generators |
[81:364:1] |
Generators of the group modulo torsion |
j |
-4837870546133689/202163600925 |
j-invariant |
L |
8.3683537882524 |
L(r)(E,1)/r! |
Ω |
0.30907520533145 |
Real period |
R |
1.5041922993894 |
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 |
109395z1 |
Quadratic twists by: -3 |