Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10450z |
Isogeny class |
Conductor |
10450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-3477237500000 = -1 · 25 · 58 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11- -1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1188,90992] |
[a1,a2,a3,a4,a6] |
Generators |
[22:264:1] |
Generators of the group modulo torsion |
j |
-11867954041/222543200 |
j-invariant |
L |
7.9449965843915 |
L(r)(E,1)/r! |
Ω |
0.66655535278039 |
Real period |
R |
0.29798712707244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83600bk1 94050j1 2090i1 114950z1 |
Quadratic twists by: -4 -3 5 -11 |