Atkin-Lehner |
2+ 3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270bc |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-549969264000000 = -1 · 210 · 38 · 56 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3159,1131165] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-1063:1] |
Generators of the group modulo torsion |
j |
-4783242408049/754416000000 |
j-invariant |
L |
3.90209202674 |
L(r)(E,1)/r! |
Ω |
0.42457239712846 |
Real period |
R |
0.76588666093449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090bd1 |
Quadratic twists by: -3 |