Atkin-Lehner |
2- 3+ 5- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330bf |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-70981324920 = -1 · 23 · 33 · 5 · 114 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,133,12771] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:637:8] [9:-126:1] |
Generators of the group modulo torsion |
j |
9704486637/2628937960 |
j-invariant |
L |
14.667326898317 |
L(r)(E,1)/r! |
Ω |
0.84785466400935 |
Real period |
R |
2.8832234896274 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66330e2 |
Quadratic twists by: -3 |