Atkin-Lehner |
2- 3- 5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
128340q |
Isogeny class |
Conductor |
128340 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-202372056288000 = -1 · 28 · 36 · 53 · 234 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 6 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14208,208676] |
[a1,a2,a3,a4,a6] |
Generators |
[5:529:1] |
Generators of the group modulo torsion |
j |
1699632644096/1084383875 |
j-invariant |
L |
10.919684970578 |
L(r)(E,1)/r! |
Ω |
0.35119432367676 |
Real period |
R |
1.7273888716867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999754943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14260b1 |
Quadratic twists by: -3 |