Atkin-Lehner |
2- 3- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
66576bb |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
534971310510440448 = 228 · 39 · 19 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-224328,-20909196] |
[a1,a2,a3,a4,a6] |
Generators |
[-345:3942:1] |
Generators of the group modulo torsion |
j |
304800835649271625/130608230105088 |
j-invariant |
L |
7.8771200861396 |
L(r)(E,1)/r! |
Ω |
0.22802580458117 |
Real period |
R |
1.9191590327904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8322a1 |
Quadratic twists by: -4 |