Atkin-Lehner |
3- 5- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36465t |
Isogeny class |
Conductor |
36465 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
148480 |
Modular degree for the optimal curve |
Δ |
-75894289260075 = -1 · 38 · 52 · 115 · 132 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5- 1 11- 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,6480,-365776] |
[a1,a2,a3,a4,a6] |
Generators |
[96:-1073:1] |
Generators of the group modulo torsion |
j |
30087195449421824/75894289260075 |
j-invariant |
L |
3.9868873153764 |
L(r)(E,1)/r! |
Ω |
0.31587453481076 |
Real period |
R |
0.078885896060049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109395m1 |
Quadratic twists by: -3 |