Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
42320r |
Isogeny class |
Conductor |
42320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
-18011526614630000 = -1 · 24 · 54 · 239 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 -2 -1 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12167,6436343] |
[a1,a2,a3,a4,a6] |
Generators |
[9360126:1060658225:729] |
Generators of the group modulo torsion |
j |
6912/625 |
j-invariant |
L |
8.9765471483189 |
L(r)(E,1)/r! |
Ω |
0.29718628365511 |
Real period |
R |
7.5512798217923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10580f1 42320bd1 |
Quadratic twists by: -4 -23 |