Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280bp |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-15618750000 = -1 · 24 · 3 · 58 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,625,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1:25:1] |
Generators of the group modulo torsion |
j |
1684801439744/976171875 |
j-invariant |
L |
4.3069704022611 |
L(r)(E,1)/r! |
Ω |
0.7450563209331 |
Real period |
R |
2.8903656550871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28560bs1 114240dw1 42840s1 71400be1 |
Quadratic twists by: -4 8 -3 5 |