Atkin-Lehner |
2- 3+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75900j |
Isogeny class |
Conductor |
75900 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-336153699750000 = -1 · 24 · 3 · 56 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9658,-951563] |
[a1,a2,a3,a4,a6] |
Generators |
[16455:25289:125] |
Generators of the group modulo torsion |
j |
-398556845824/1344614799 |
j-invariant |
L |
6.8624809337482 |
L(r)(E,1)/r! |
Ω |
0.22143998868746 |
Real period |
R |
4.4271787812116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3036i1 |
Quadratic twists by: 5 |