Atkin-Lehner |
2- 3+ 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550bp |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
2064353040000000 = 210 · 310 · 57 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-65938,6112031] |
[a1,a2,a3,a4,a6] |
Generators |
[105:547:1] |
Generators of the group modulo torsion |
j |
2029137179059801/132118594560 |
j-invariant |
L |
8.4378542388354 |
L(r)(E,1)/r! |
Ω |
0.45653370784013 |
Real period |
R |
1.8482434252356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996398 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110r1 |
Quadratic twists by: 5 |