Atkin-Lehner |
2- 3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270bm |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-4531059273780 = -1 · 22 · 39 · 5 · 135 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4748,163491] |
[a1,a2,a3,a4,a6] |
j |
-16234636151161/6215444820 |
j-invariant |
L |
2.9108919812926 |
L(r)(E,1)/r! |
Ω |
0.72772299531787 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090g1 |
Quadratic twists by: -3 |