Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9360be |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-898560000 = -1 · 212 · 33 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-387,3266] |
[a1,a2,a3,a4,a6] |
Generators |
[7:30:1] |
Generators of the group modulo torsion |
j |
-57960603/8125 |
j-invariant |
L |
4.1665109887044 |
L(r)(E,1)/r! |
Ω |
1.5245873222387 |
Real period |
R |
0.34160973660943 |
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 |
585c1 37440dc1 9360x1 46800ck1 |
Quadratic twists by: -4 8 -3 5 |