Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960fb |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7.896605509556E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112883628,-174100488752] |
[a1,a2,a3,a4,a6] |
j |
1664865424893526702418/826424127435466125 |
j-invariant |
L |
3.1198392018679 |
L(r)(E,1)/r! |
Ω |
0.048747487527286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960cj3 12240z3 16320cx4 |
Quadratic twists by: -4 8 -3 |