Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960ei |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.9889501913943E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26607468,52822336592] |
[a1,a2,a3,a4,a6] |
Generators |
[2618:33280:1] |
Generators of the group modulo torsion |
j |
10901014250685308569/1040774054400 |
j-invariant |
L |
4.8471480358 |
L(r)(E,1)/r! |
Ω |
0.17101295540138 |
Real period |
R |
3.5429684438342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960bl2 12240bz2 16320cf2 |
Quadratic twists by: -4 8 -3 |