Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600kb |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-94003200000000 = -1 · 219 · 33 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4833,482463] |
[a1,a2,a3,a4,a6] |
Generators |
[183:2400:1] |
Generators of the group modulo torsion |
j |
-121945/918 |
j-invariant |
L |
5.6516849210437 |
L(r)(E,1)/r! |
Ω |
0.5162528258072 |
Real period |
R |
0.30409760493744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600ck1 20400cv1 81600fu1 |
Quadratic twists by: -4 8 5 |