Atkin-Lehner |
2+ 3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270q |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1269159840000 = 28 · 39 · 54 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3240,46656] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:351:1] |
Generators of the group modulo torsion |
j |
5160676199041/1740960000 |
j-invariant |
L |
2.4933923792554 |
L(r)(E,1)/r! |
Ω |
0.79251400212048 |
Real period |
R |
0.78654521326592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090bi1 |
Quadratic twists by: -3 |