Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150ed |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-8.3258250192E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 5 13+ -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15809180,-24230091553] |
[a1,a2,a3,a4,a6] |
Generators |
[18325:2407333:1] |
Generators of the group modulo torsion |
j |
-61379613231690625/116949860352 |
j-invariant |
L |
13.214134374491 |
L(r)(E,1)/r! |
Ω |
0.037852331581174 |
Real period |
R |
6.2338745109954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37050ba1 111150co1 |
Quadratic twists by: -3 5 |