Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240eb |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1170063360 = -1 · 214 · 33 · 5 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,228,-976] |
[a1,a2,a3,a4,a6] |
Generators |
[5:17:1] [10:48:1] |
Generators of the group modulo torsion |
j |
2963088/2645 |
j-invariant |
L |
10.160298167408 |
L(r)(E,1)/r! |
Ω |
0.84664065443584 |
Real period |
R |
3.0001802164232 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240o2 16560d2 66240dj2 |
Quadratic twists by: -4 8 -3 |