Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350cf |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
16220160 |
Modular degree for the optimal curve |
Δ |
-3.1259725317031E+24 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-77461063,-275855703383] |
[a1,a2,a3,a4,a6] |
Generators |
[710562057176598:116108561122539151:23862997439] |
Generators of the group modulo torsion |
j |
-27961843710799634329/1700500998980000 |
j-invariant |
L |
11.158298373002 |
L(r)(E,1)/r! |
Ω |
0.025355471855539 |
Real period |
R |
22.003728498083 |
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 |
21070l1 15050v1 |
Quadratic twists by: 5 -7 |