Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66924f |
Isogeny class |
Conductor |
66924 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
682238019969792 = 28 · 33 · 112 · 138 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26871,1138046] |
[a1,a2,a3,a4,a6] |
Generators |
[26:676:1] |
Generators of the group modulo torsion |
j |
64314864/20449 |
j-invariant |
L |
4.6877552119421 |
L(r)(E,1)/r! |
Ω |
0.47122625641861 |
Real period |
R |
2.4869980972582 |
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 |
66924c2 5148a2 |
Quadratic twists by: -3 13 |