Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66924f |
Isogeny class |
Conductor |
66924 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
298180952784 = 24 · 33 · 11 · 137 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24336,1461005] |
[a1,a2,a3,a4,a6] |
Generators |
[283:4152:1] |
Generators of the group modulo torsion |
j |
764411904/143 |
j-invariant |
L |
4.6877552119421 |
L(r)(E,1)/r! |
Ω |
0.94245251283723 |
Real period |
R |
4.9739961945164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66924c1 5148a1 |
Quadratic twists by: -3 13 |