Atkin-Lehner |
2+ 3- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
126480h |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
809857764000000 = 28 · 36 · 56 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88076,-9996660] |
[a1,a2,a3,a4,a6] |
Generators |
[108986:12718125:8] |
Generators of the group modulo torsion |
j |
295162667156495824/3163506890625 |
j-invariant |
L |
9.3554796637462 |
L(r)(E,1)/r! |
Ω |
0.27731026405882 |
Real period |
R |
5.6227511267231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070135 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63240a2 |
Quadratic twists by: -4 |