Atkin-Lehner |
2+ 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69966t |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
30501117972 = 22 · 38 · 133 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 -6 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2664,52924] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:320:1] [-58:128:1] [-55:203:1] |
Generators of the group modulo torsion |
j |
1305751357/19044 |
j-invariant |
L |
7.7068981525043 |
L(r)(E,1)/r! |
Ω |
1.177594766481 |
Real period |
R |
0.81807621474214 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23322r2 69966bj2 |
Quadratic twists by: -3 13 |