Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240jx |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
262180800 = 26 · 34 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5462100,4911641550] |
[a1,a2,a3,a4,a6] |
Generators |
[1365:1020:1] |
Generators of the group modulo torsion |
j |
281593586003787470649664/4096575 |
j-invariant |
L |
9.3895165872037 |
L(r)(E,1)/r! |
Ω |
0.60934797892154 |
Real period |
R |
0.9630700495552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999893935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hl1 57120be4 |
Quadratic twists by: -4 8 |