Atkin-Lehner |
2+ 3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550x |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1790334375000000 = -1 · 26 · 3 · 511 · 192 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24251,2499398] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:1749:1] |
Generators of the group modulo torsion |
j |
-100940836056481/114581400000 |
j-invariant |
L |
6.6746380535438 |
L(r)(E,1)/r! |
Ω |
0.42659309134049 |
Real period |
R |
3.9115952587882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110y1 |
Quadratic twists by: 5 |