Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400a |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
195364000000 = 28 · 56 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1975,-26250] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:72:1] |
Generators of the group modulo torsion |
j |
212992848/48841 |
j-invariant |
L |
4.3696368958799 |
L(r)(E,1)/r! |
Ω |
0.72796194837968 |
Real period |
R |
3.0012811154649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999767 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44200a2 3536e2 |
Quadratic twists by: -4 5 |