Atkin-Lehner |
2- 3- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270bu |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
207939148185600 = 220 · 39 · 52 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54077,-4776699] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:264:1] |
Generators of the group modulo torsion |
j |
23989788887201929/285238886400 |
j-invariant |
L |
9.5354832338761 |
L(r)(E,1)/r! |
Ω |
0.31329915179094 |
Real period |
R |
1.5217856766236 |
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 |
12090b1 |
Quadratic twists by: -3 |