Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280bz |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-6966681326640 = -1 · 24 · 316 · 5 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1185,-125622] |
[a1,a2,a3,a4,a6] |
Generators |
[483:10647:1] |
Generators of the group modulo torsion |
j |
11491910518784/435417582915 |
j-invariant |
L |
5.708225051351 |
L(r)(E,1)/r! |
Ω |
0.35911246737329 |
Real period |
R |
3.9738421594658 |
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 |
28560bc1 114240p1 42840k1 71400h1 |
Quadratic twists by: -4 8 -3 5 |