Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
66300f |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
119318037959250000 = 24 · 32 · 56 · 133 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-123833,-2222838] |
[a1,a2,a3,a4,a6] |
Generators |
[-307:2601:1] |
Generators of the group modulo torsion |
j |
840033089536000/477272151837 |
j-invariant |
L |
6.6888777690596 |
L(r)(E,1)/r! |
Ω |
0.27489879308348 |
Real period |
R |
1.3517859294704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652f3 |
Quadratic twists by: 5 |