Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960ck |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
174810075415511040 = 216 · 322 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144012,6150256] |
[a1,a2,a3,a4,a6] |
Generators |
[13747272:95345180:35937] |
Generators of the group modulo torsion |
j |
6913728144004/3658971285 |
j-invariant |
L |
7.063126159962 |
L(r)(E,1)/r! |
Ω |
0.28158692856123 |
Real period |
R |
12.541644237607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960fc4 6120r3 16320z3 |
Quadratic twists by: -4 8 -3 |