Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370dx |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
2240 |
Product of Tamagawa factors cp |
deg |
11468800 |
Modular degree for the optimal curve |
Δ |
1.082461311197E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11636880,14435078400] |
[a1,a2,a3,a4,a6] |
Generators |
[11040:1104240:1] |
Generators of the group modulo torsion |
j |
7220044159551112609/448454983680000 |
j-invariant |
L |
13.144164706673 |
L(r)(E,1)/r! |
Ω |
0.12587863753335 |
Real period |
R |
0.18646311379645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999895889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
330d1 |
Quadratic twists by: 17 |