Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
14880o |
Isogeny class |
Conductor |
14880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
345960000 = 26 · 32 · 54 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-270,1368] |
[a1,a2,a3,a4,a6] |
j |
34138350784/5405625 |
j-invariant |
L |
3.2646782446517 |
L(r)(E,1)/r! |
Ω |
1.6323391223259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14880k1 29760bn2 44640i1 74400a1 |
Quadratic twists by: -4 8 -3 5 |